I stopped syncing apps long ago mostly because they were bloating up my HDD but mostly because it just wasn't needed anymore.
I use Google Play Music I do still have some music synced from my iTunes library which is handy if I'm offline (which is almost never).
Ring tones... well I do actually have a few custom ring tones, all hand made, except one, and that's the only one I would want to keep. My ring tone (since day 1 of the 3G) is the iPhone Ring from the original TV ad in the US. Why that isn't a stock tone I don't know. Seriously I've had the same ring tone (and message tone) forever... I'm old and like it that way