I've been running EAC with wine for many years with no problems. The latest release is rated 'Platinum' in the WineHQ App database: WineHQ - Exact Audio Copy.
Some of the UI elements act a bit weird sometimes (like editing track metadata in the list view) but it's mostly just quirky stuff like the text not rendering in some list elements now and then. It's all still there though, so clicking that field renders it correctly and then it stays that way. It's rare enough that I just ignore it.
I've used tools like abcde and others mentioned in this thread, and they work just fine. Since EAC works so well and I get all the accurip validation, metadata/albumart fetching and error recovery goodness, I use it preferentially. I only rip once to a ZFS pool, then put the CD away for backup, so I'd rather have the accuracy than 'native' integration with the desktop or the quick convenience of a CLI rip.
I must admit I got a little choked up reading that. So glad to see such wonderful stuff happening in our lifetimes.