Gameplay
Originality/Innovation
Music


I'm fine with playing an amazing game only once. There are tons more I don't have time for. I don't need to play one a million times... stupid perfect Tetris.

High replay value (Flexibility/Content/etc.)

High quality music

High Quality gameplay

Since I can only choose 3, I guess those.

Gameplay/Music/Storytelling


Nothing irks me more than a grandiose type story that is told in piss-poor fashion. I can live with cliched stories as long as they're competently told, which reduces the feeling of redundancy.

Gameplay and music are the most important, though, as they are what I remember most about my favourite games.

Gameplay
Replayability
Storytelling

I really love good music too, but it's not as integral as the first 3.

And it's all more important than graphics.

plot, storytelling and music, decent gameplay will do if the others are good

Gameplay
Storytelling
Originality

High Quality gameplay

High quality graphics

High quality plot

High Quality Graphics
High Quality Storytelling
High Quality Gameplay

Gameplay is a must, for most genres. Great music always enriches the experience (unless it's multiplayer).

Last pick depends on how much money I have to spend, and how many other great games are out there. Replay value if little, otherwise something else, probably originality.