Wizard Wizard, by CrateBoy, is an indie game in which you apparently have to save the princess (this wasn’t mentioned on the game’s page but it’s right there on the tutorial stage). In this game, you have to complete levels by jumping around the screen in order to get keys but it isn’t as easy as it sounds. Many keys are in hard to reach locations and you must do tricky jumps while avoiding moving blades/hammers to succeed.
Unfortunately, the game is pretty short as it only has around 30 levels (depending on the version that’s being used) but it ought to keep you intrigued for a while since levels can get pretty difficult later on. It also has a pretty good 8-bit-esque soundtrack by “_THE” so that means there’s quite some incentive for you to go try it out