Suggest a game i can play that is fun and addicting? On my Iphone an iPad?

After many years of collecting good iPad games, here is my list. Keep in mind they are all free.

Intense Games (Games that require your full attention at all times)

Subway Surfers - Dash game.
Flappy Wings - A lot harder than it looks.
Cheating Tom - Cheat your way to graduation.
Dragon, Fly - I don't know how to explain it. Just try it.
Smash Hit - Shoot the balls!
Geometry Dash - Impossible Game Plus
Mr. Oops - How long can you survive?
Dungeon Nightmares - Wear headphones. Free heart attacks.
Ninjump Deluxe - Dodge the stuff, and the things!
Cliffed - Can't explain it. Just play it.
Zombie Highway - Run over the zambies and knock them off of your car!
Dumb Ways to Die - Yeah… It's good.
Solomon's Boneyard - Survival RPG. Loads of fun.
Rope'n'Fly - Wee! Spider-Man!
Gun Fu - Matrix wannabe.

Progressive Games (Games that have a story or require some attention to play)

Dungeon Flicker - Fast RPG. Get stronger and move up.
Dungeon Master - Dungeon Crawler. Funny and challenging.
Plants vs. Zombie 2 - Tower defense at its finest.
Order Up - I have never played a better cooking simulator.

Relaxing Games (Games that you can literally get up and walk away with little to no consequences)

Sudoku 2
Tic Tac Toe Glow
Shanghai Mahjong
Paper Toss 1-2
Chess
Word Search
Spider Solitaire

Educational Games (I dislike educational games, but I like these games)

iSays: Simon says color game, great for memory.
Math with Zombies: Self-explanatory.
King of Math: Good simple math drills.

Have fun!

Plague is an amazing game, create a virus or bacteria and try an infect the whole world with it. Perfect for killing time.

Sims freeplay, subway surfers, temple run, temple run 2, fruit ninja, kim kardashian, crazy taxi and jetpack joyride.

Have you tried smule piano or any of those musical titles? You can try the game "Blockheads" or "Deepworld"