The Legend of Edgar is clearly inspired by the original Legend of Zelda, both in terms of graphic and gameplay. Your Dad has gotten lost in the forest, and you must get through quite a lot of levels to rescue him.
While it's a platformer, and many of the challenges are typical of such, it's also a fighting game, with left-CTRL triggering use of your current weapon and left-ALT your current shield. Most levels have some sort of puzzle aspect, if only in terms of figuring out how to navigate to certain areas, and an inventory system is used to increase the number and type of challenges. For instance, one of the first things you do is pick up a bag of chicken feed, and drop feed in front of chickens to lure them to a trap.
A variety of characters are met in the course of the game and act primarily as quest-givers; most levels have boss battles.
In short, there's nothing hugely original here, but it's a nice, retrostyle, nostalgic game with intelligently designed levels and peppy gameplay. And free, with Linux supported, so what's not to like?