Yeah, I guess it will always come down to your judgment in the end. All relationships are different and have different rules. Things that are acceptable to me or you might not be acceptable to others. But I think we can generalize some things that should be acceptable/unacceptable for the majority of relationships.
Thanks for the replies Doc and Int. Int, you always have a fun story or analogy

I wouldn't even classify that as snooping if it was to get a gift for your man. I would be pleasantly surprised if my girlfriend did that.
@EEK, I think most of it is just trivial stuff and can be worked out with communication and having trust in your partner. However, a few things show some really bad character flaws in someone and I personally wouldn't want to be with someone for doing that. If the situation was reversed and it was the guy doing some of these things, I would still find it unacceptable.