For a smartphone, I can't think of any games that were addicting to me, but yeah, I started playing games on consoles. You know, the devices that were devoted to gaming and gaming only back then. After I discovered the internet and went to high school, I played Runescape. Now that was an addicting game.
Now I stream all types of high quality PC games on my Twitch channel, like Fallout 4, Rocket League, Team Fortress 2, Subnautica, ARK, and many more.
There are fun game apps out there, but I've never downloaded one that was really addicting. The method of playing is a big deal for me. Mouse and keyboard is the most effective way to play a game, but playing with a controller feels so much better. And playing on a smartphone just feels a bit wrong to me: it's not effective and it's not satisfying for me.