liivainimene: Sure you can! H3 is a lot of fun. I think the storyline isn't that important in the HOMM games, you can totally enjoy them without paying too much attention to the story.
H3 doesn't really require any previous knowledge about the game universe to be able to have fun. A lot of fun. For years!

mrtophat101: I used to play Heroes 1 when I was very young.
My English was horrible back then, so I never really understood the game and its mechanics.

I would love to play Heroes again, but I am not sure what game will give me the best experience/most fun. I hear Heroes 3 is amazing. Can I play 3 without any knowledge of 1 and 2?

Thanks!