What does it mean when a guy who breaks up with you says you're a nice girl and a good person? I've been told this twice by two different guys in less than three months. Is there something wrong with me?

No, it means they are trying to "Cushion the blow". They are trying to tell you something nice while doing something that will hurt your feelings.

Does it mean that they really don't mean what they're saying that Im a nice girl and a good person?

NO. They probably really do think that you are nice and that you are a good person, but you are not right for them.

Nothing wrong with you.

There is absolutely nothing wrong with you, and they were sparing your feelings. Hey, they didn't click, so they wanted to go another route. Don't take it personally, as we all go thru that.

Keep being who you are, and you will get to find someone that's compatible with you. Many, if truth be told. And many who are NOT!