I have always been drawn to songs of all genres that the songwriter put thought into their lyrics. These songs usually have at least one of the following aspects: a deep meaning behind it, use of metaphors/similes in smart ways, insane wordplay, and/or use of layered rhyme schemes.
Songwriters like Eminem, Taylor Swift, Thrice, just to name a few, are the type of writers that inspire me.
I have written lyrics that I feel encompass the aspects I've been drawn to, and I'm always trying to get better.