Well, I have an LG Bello, which is an Android, so I mostly play games that are top rated on Android. I used to play Candy Crush (yeah, I know) before a lot, and I kinda grew out of it when I got to the VERY hard levels, and I liked playing Pet Rescue Saga. But that was a long time ago, right now I have two games installed.
Relic Run, which is Square Enix' take on Temple Run 2 with a lot of cool features. For example, there are a few segments of the run, first you're running, then some enemies appear on the sides and you have to tap them to shoot them, then you get to a quad-bike and you drive that around for a bit, and after that there are some wall running sequences and a dinosaur at the end. Can't go wrong with dinosaurs. Anyhow, the game is quite fun and there are relics to collect, hence the name. I have collected 7 out of 15 so far, and when I collect 15, I unlock a new desert map with new enemies, vehicles and stuff like that. Check it out, it's not a bad game and it's around 50 MB only.
The other game I have installed is Kiwi Wonderland. I saw Kiwi Wonderland on the Play Store a couple of days ago and didn't pay much attention, it looked cute and cool but I just didn't feel like installing it. I installed it yesterday and I loved it. Basically, you are a kiwi, the bird that can't fly, and your goal - fly. It's kind of like Flappy Bird on steroids, it's a lot better than that. You have a jetpack with which you fly higher and pick up coins, lives, vehicles, stomp on other birds and enemies for points. There are vehicles in the game like small and big spaceship, the egg jumper (I'm not even joking) and some sort of a helicopter thing. Vehicles, except for the big spaceship, basically serve as a shield for you, because they are destroyed when you take 3 or so hits. The big spaceship, however, launches you some thousands of meters forward for easy points. There are missions in the game, so you always have some goal to work for, and my current high-score is 101,666. Try to beat that, if you want.
Also, if you like city building games I'd recommend you the City Island games by Sparkling Society. They have a few different ones with different settings on the store, and all of them are free. However, what I didn't like about it is that you always have to wait. If you want to upgrade your building, you have to wait till it finishes and stuff like that. I don't really like that aspect in most mobile games, but hey, whatever.
Can anyone recommend me some good racing game? I played Drag Racing by Creative Mobile and I loved it at first, until it was just impossible to win and all my money was spent. The only thing I could do is start a new game or spend actual money for upgrades and stuff. Last good mobile racing game I played was NFS: Pro Street on my K800i. I played that a LOT.