The games listed here are not arranged in any particular order. They are just games that I have enjoyed thoroughly that fall under the Endless Runner category. Even though the concept with which these games are developed is the same, the result is different in most of them, and definitively enjoyable. And that's what matters.
1. Mr Jump
Mr Jump technically isn't an endless runner, since it has only twelve levels, but the game is easy to pick and very enjoyable. As most of the games in this category, it is incredibly simple. The character runs automatically and you tap the screen for a small jump and hold it for a longer jump. It's your basic stuff, and it is in this simplicity that the game shines. Everything is catchy and straightforward: the gameplay, the levels, the concept, and even the music.
It is also free to play, though you can deactivate the ads with a payment of 1.99$
2. Power Hover
Power Hover's gameplay is buttery, frustrating, and, ultimately, fun. I say frustrating because this game is not the same as your usual endless runner, in which procedurally generated levels are the rule. It also doesn't have regular checkpoints or abundant lives. This means you are going to be replaying each level a lot in order to get through, which means that, if you are not accustomed to grinding, the game can get annoying pretty fast.
If you are the kind of gamer that ultimately enjoys really knowing a level and working through it to overcome it, then this should be right up your alley. The game is not free to play so, after you pay the 2.99 it costs, you won't need to worry about ads.
3. Lara Croft Relic Run
If you like Temple Run, then you are definitively gonna like Lara Croft Relic Run. The game has the same old story, of going to uncharted place to retrieve treasures, and that doesn't really matter. What matters is that the gameplay really tries hard to do some new things, and keep everything fresh and kind of varied. You are obviously gonna be running through procedurally generated levels, but within them, there is a wide variety of gameplay mechanics. You will, for example, find yourself running, only to be shooting lizards and running walls the next.
There are bikes to ride, quick time events to get away with, and T-Rexes to run from. It takes that basic temple run mechanics and imbues it with variety. At its heart, is your everyday endless runner.
It is free but, as you'd expect, the game has a lot of microtransactions.
4. Crossy Road - Endless Arcade Hopper
Crossy Road mixes a simple and straightforward mechanic with an interesting visual design and a non-aggressive monetizing system. Too technical? Well, what I am trying to say is that the game is simple fun, easy, and ready to play. It has a very appealing design in which it imitates an 8-bit aesthetic but in 3D. Also, the ads are not thrown in your face every five seconds. What keeps you playing is the fact that you can constantly unlock more characters, and the game is constantly being updated, so the fun doesn't run out.
It is free and has already been downloaded more than 150 million times now.
5. Try Harder
Try Harder is one of my favorites endless runners. It is fast paced, simple, and wonderfully designed. This one is really an endless runner, there is no way to win in it. You are just going to keep playing, keep dying, and keep trying harder. The game keeps you on your toes by constantly putting complications in your path, but also giving you power-ups, so you have to pay close attention to what's coming and what can you use to overcome it.
There is also an interesting element in the gameplay. When you die, your body stays in the level, so you can use it to help yourself out... with yourself. It is a little detail that makes the game that much more engrossing and fun.
It is free, so go out and give it a try. It's awesome!