The two are pretty close, but between the two TextMate feels more like a golden era OS X desktop app thanks to several small differences and tiny Mac-isms, and I'd like Sublime to have that feel too.
I also feel TextMate had the nicer overall UX. When I first tried Sublime, TextMate had the better text rendering (IMO). Sublime has more features but still doesn’t feel as slick somehow.
I’ve recently returned to Sublime from VSC. I prefer VSC’s UI for following links to definitons/references, but in most other ways I prefer Sublime’s nimbleness.