The games vary from Classic Mario to Cannonball (via AOL Kids) to Robot Unicorn (via Adult Swim). Many are retro-styled sidescrollers. If you enjoy playing games such as this you’ll probably appreciate the added control, and if your kids are old enough to have your hand-me-down phone they’ll get a kick out of it as well.
Keep in mind that WanderPlayer is currently in open beta so a glitch may be found here or there. That said, the developers seem to respond quickly to bugs and feedback. You may want to give it a try if you play a lot of these types of games.