Plants vs Zombies 1 and 2 is my fave, but I play angry birds, spymouse, and alterate between hidden object games and what's the difference app. PVsZ is the best! Gotta love the crazy zombies with different abilities! ha
Mostly sport games like Madden Mobile and NBA Live Mobile. I used to be into strategy games like Clash Royale, Clash of Clans, and Boom Beach, but most of my friends stopped playing so I did too.
I really like games you can play offline...
Ant smasher, bottle shot and paper toss are some of my favourites
Tetris is a good'un too
Online games I only really play FoE now
Used to play Sims and Sim city but you need to be online to play sim city now, I'm sure I used to play offline unless trading
As a long time tabletop gamer I like a lot of mobile versions of my favorite board games: Talisman, Elder Signs: Omens, Pandemic. They all play well on a smaller screen and have minimal micro's. Plague Inc. is also a lot of fun.
Puzzle games like 2048, now playing a bit of icy ropes. My kids downloaded campfire's burning, pretty fun, challenging puzzle. Looked easy but took me a bit to work out timings.
Always been a fan of the classics like Angry Birds of Plants vs Zombies, although I prefer the PC version of PvZ. For now, I'm playing TOFU HEROES which is pretty awesome.