I don't think there are any tropes that put me off- even if a horror game begins with a cheesy jump scare, I'll probably persevere for a bit.
If there's one thing I instantly judge a game on, it's the font. If there's no effort made with this in the main menu, it's almost always going to be an awful game.
Also, an infodump at the start of a story based game will halt me in my tracks. If a game begins with a wikipedia entry, it's not going to get much better...