I am writing a somewhat experimental math book. You can find the current version here. The basic premise is that group actions (rather than homomorphisms) are a perfectly valid choice of protagonist in the story of undergraduate group theory, and that this perspective can give intuition where the standard story fails to. 

I think it's particularly good for students who took a group theory class but never really understood it at a gut level. If this sounds like you, I'm happy to set up weekly meetings to talk about it (in exchange for feedback of course). Just send me an email.