I've been with this girl for 3 months, although we had different interests and values we enjoyed our time together.
Then suddenly yesterday she broke up with me and said we simply "don't match". I thought as long as she is attracted to me we would work out just fine...

Please give me some advice, is "don't match" a true reason for breaking up or may she wasn't attracted to me any more?

It could well be that something has happened to kill her attraction to you. Any more info to go on?

Is there a possibility that she is attracted to and loves me, but chose to break up because our personalities didn't match?

I'm sure I'm pretty much the same guy after the relationship
Did not turn needy and AFC

I'm not an expert, but if she is attracted to you and loves you, that means she is attracted to and loves your personality too. All this 'our personalities dont match' is just a cover. What does that even mean??? Seriously, break it down and think. Its a line used to break up without giving the real reason so you don't feel too bad.

Again, more info would help, but this is my take on it.

Think about it - if a woman is crazy about you, really attracted to and into you, it doesn't matter if you have different likes or dislikes etc. It doesn't even come into it.

I wouldn't think too deeply about it - you'll probably never have a solid answer as to why she broke up with you. She probably just decided that it wasn't working and wanted to move on. The not matching thing was probably just her way of letting you down gently. See this as an opportunity to go out and meet more women.