If you`re looking for free game engines, I´d check this: http://en.wikipedia.org/wiki/Category:Free_game_engines
Tho before choosing one, you`d have to make up your mind about what game you want to make. I`m fairly certain that one of the easier ones tech-wise would be a Visual Novel (Ren`Py would be a good thingy to use for that. I don`t think you even need to know how to code to use that).
If VN-s aren`t your thing, try a 2d platformer or a top-down adventure game, or something like that would be a pretty good idea. I think. just don`t try to make anything too difficult.
Tho looking at that list closer, i could have sworn there are other free game engines, that aren`t on that list. Weird...
But I should say, I am in no way an expert on this field. Haven`t got a lot of experience, actually. So, yeah. There are surely more experienced folk regarding this field on this forum.