I'm a rhyme freak too. I guess that's how I was brought up as a child. But that's not a bad thing. Although, rhymes can get boring. Hence the whole ABAB, AABB type things.
I like to do ABCB verses as well. Or even ACBB type things.
I do avoid, AAAA schemes. That gets old really quick. Few people except for the likes of Dylan can pull those off.
But don't get hung up with rhymes. If you're rhyme heavy try to mix it up a bit with alliteration. Although, go easy with it. Alliterations can sound very forced, so keep a light hand on them. An excellent trick is to use "internal rhyming". For example, if you have an 8 syllable line, have syllables #4 and #8 rhyme.
In reality though, by far, the vast majority of English languages lyrics rhyme. But don't be afraid to write outside the formula.
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