This list is completely based on my personal experience and at times I played average games in a good mood that made them better or great games in a poor mood that made them worse. Also, a lot of these games are 9's or more - games that were below 7's for me I didn't bother to write about and a lot of other ones that would have been bad I just never downloaded to play. I hope this list gives you some inspiration for the next game that might hook you.
Chaos Rings III
: This is a massive game with a long story and plenty of new powers to unlock. The game is pretty damn expensive $40!!!. It has no in game purchases but the way it is designed would make you think that they were originally intending to have them because there are booster back that can be unlocked. For this reason I actually rooted my phone and installed Game Genie so that I could cheat about 100 of the packs into my save and this was a really fun boost to skip a good chunk of the game's grind. (8.2/10 - fun characters and story, gameplay mechanics could have been deeper)
Clash Of Clans
: Great OG game, I spent about $20 on getting some unlocks/boosts. Unfortunately that money felt wasted. Games like these where timers (and purchasing time-skips) are part of the gameplay, literally require you to pay to play. Great quality game but this type of revenue model in games is just a pain (would pay $30 outright to skip all timers for 6 months, etc.) I actually don't recommend this game even though it is on the list - this is more of a recommendation not to play. (6.4/10 - waiting to play is horrible).
Walking Dead: Road to Survival
: Just like Clash Of Clans - I was really into this because of like the Walking Dead series. Unfortunately the timewalls are just horrible. I spent $40 to get booster packs for new characters and didn't get anything worthwhile. Emailed support to ask for a free boost to compensate and they declined. I actually don't recommend this game even though it is on the list - this is more of a recommendation not to play. (6.4/10 - timewall is annoying).
The Walking Dead: Season One
: Worth $80 if it cost that much. Fantastic story and I still remember it to this day. (9.6/10 - very limited interactivity, but this is a game for its story).
: Other peeople will really enjoy this. I didn't like the puzzle game design - I don't generally like these style of games. I get stuck and have to look up the answer on Youtube or just become bored. (8/10 - Other people will like this game but I never spent more than two hours on this).
: Probably the best free game around. Really fun building and questing mechanic. The pay element is mostly non intrusive. After about 12 hours of playing the game falls off because the timewall starts to come into effect but until then the game is terrific. (8.4/10 - too bad I can't buy the game for $25 to destroy timewalls and play freely).
: I had a lot of fun with this game. It will be deleted from my phone once Wildrift comes out, but for a MOBA experience on mobile, this is great. (8.5/10 - I did have ping fluctuations from time to time).
: This is a PSP emulator that I used to play Persona 3. Worked amazingly on the phone and what a great game. Buy a copy of Persona 3, throw it down the drain and then load the rom onto your phone to stay legal. (10/10 - terrific game and runs like it is native).
: I had a lot of fun with this game. It has a really cheap price tag of only $5. I probably put about 15 hours into this game and had a great time. Unfortunately you have to buy the other characters to unlock their mechanics if you want to skip a horendous grind. They were just too expensive so I didn't bother. (8.1/10 - should have bumped the price $10 and unlocked all characters).
The Bonfire: Forsaken Land
: I played the demo and enjoyed it a lot so paid for the full unlock. The game itself is challenging but very fun. I probably put 10 hours into this game, unfortunately it ends very quickly. I have heard there is a sequel on the way and I would happily buy it to play when it comes out. (8.9/10 unfortunately just a bit too short).
Kingdom: New Lands
: What Bonfire was based on, Kingdom is a really smart and simple game that has a lot of depth. I put a good 10 - 15 hours into the game, however I never got past the 2nd island. For me it is just too difficult and there should have been option to make aspects easiemore relaxed. (8.2/10 - never finished it because it was too hard).
Rebuild 3: Gangs of Deadsville
: I had a lot of fun with the story and played it for a good 10 hours. Unfortunately I forgot about it halfway through the campaign and never picked it up again. It lacked some magic to really make it an impossible to put down experience. Combining all the maps into one large map would have rewarded the aspect of building up a town. (7.8/10 - graphics are a little bit average and it missed something to hook me for 30+ hours).
I got to gold rank and played a good 20-30 hours. I am also a big fan of League but unfortunately I just don't enjoy autochess games. Quality is top shelf however and the price model is extremely non-aggressive. (9.3/10).
: Great game. Put 30+ hours into this. Costs $14 on the appstore but probably worth $35. (9.5/10 - unfortunately the pixel graphics are just a bit ugly in my opinion).
: Really enjoyable game with no invasive transactions. Not expensive at all and a great game to play travelling. (9/10).
Legends of Runeterra
: Again, I am a big league fan so got this to play straight away. Spent a lot of time on this. Really well polished if you want to play a card game or like League lore. (9.7/10).
Don't Starve: Pocket Edition
: This and Crashlands (which isn't on this list but I have briefly played) are both great fun and at a $7 price tag a no-brainer for a good game at a cheap price. Pick up and play if you haven't before. (9.5/10).
Battle Chasers: Nightwar
: This is what android gaming should be. A full game available for a fair price that you can sink into for 20-30 hours. Great graphics and gameplay. Very polished overall. If you like turn-based combat then give it a try. (8.7/10)
: Literally only took two games to have me laughing in tears. Very fun multiplayer game and I bet it would be a great game with friends. Literally free to download so why wouldn't you? (8.9/10 - lacks a bit of polish).
: I had fun for awhile until I read that you can't replay old missions to get more money/bases for the next chapter level you are at. I understand if you make wrong purchase decisions you can become hardstuck at certain levels because you can't upgrade any more without beating the level but can't beat the level because you can't upgrade any more. (7.7/10 - the game is a fun FTL style game but unfortunately I lost interest once I realised you couldn't go back and replay previous levels).
Ticket To Earth
: I was initially put off by the screenshots but playing the game I quickly got hooked. The tile mechanic is very intelligent and fun. On top of this is a great RPG system and a good story. Definitely worth the $7.50 pricetag. (9/10)
: I Loooved this game and put 30+ hours into it. I would give it a 10 except that I am not a big fan of pixel graphics style and each chapter you lose all progress on your ship which is a bit annoying. (9.2/10).
: I really recommend this if you like Minecraft style games at all. Fun building, a good story driven RPG and very polished/looks great. (9.4/10).
: A fun, heavy style side scroller game. Very polished and easy to get into. I haven't finished this but will definitely come back to it from time to time. (7.8/10 - more depth to the RPG would have been appreciated).
: Probably the best Android game you can buy. Ported extremely well and the game itself is all about learning and getting better with each attempt. (9.8/10 - unfortunately I am not a big fan of pixel art so that throws me slightly).
: Probably the second best Android game you can buy. Easy to learn controls keeps you going through a game that is all about the immersing world. After I finished this I went away and read all about the story and what it meant. (9.5/10 - a bit short to be perfect).
: This game is everything I want: a Fallout Shelter style game with no timers, just buy in full and get the game. Unfortunately it only takes 20 hours to become safe to a point that the challenge is gone. Also the graphics are not my preferred style. (8.7/10 - a paintjob and more challenge in the endgame would make this my number one game).
Lara Croft GO
: People sleep on this game but it is actually a really fun puzzle game that I fully completed and went back to again. Would definitely recommend anyone to give it a try (and also the Hitman GO game too). (9.2/10).
Game Dev Tycoon
: A game that I put a lot of hours into (40+). Really enjoyable progression game where you create your own stories. Unfortunately the game type combinations are a bit predictable, so that you only need to create a survival game with zombies or an adventure game with RPG to have a perfect game. However everything else about the game is great and I enjoyed the whole thing. (9.6/10).
This War Of Mine
: I loved everything about this game. I just wish it had an endless mode and that it had an option to make it a bit easier. (9.6/10).
If I had to recommend three games to go download now and play, they would be Game Dev Tycoon, Crying Suns and Legends of Runterra.