Earlier quoted context omitted.
Piano's another good one if you're looking for something more melodic. Although I think drumming is where it's at if you'd find value in the social aspects of music (it's harder to play piano in a band). Now that I think about it, drumming and piano have a couple of things in common, even though they're vastly different instruments. Both require 'synchronising' the left and right sides of your body (and also, presuma…
Any favorite piano player / band / album / theme that tickle your syncopation senses ?
And one from my favourite composer, Claude Debussy, the first in his pair of Arabesques: https://www.youtube.com/watch?v=9Fle2CP8gR0 . The Arabesque is really nice: it starts off synchronised and then transitions to a really beautiful syncopated flowing section.
And although this has nothing to do with syncopation or off-beat rhythms, I highly recommend this video from Valentina Lisitsa (one of the most technically brilliant pianists alive, IMHO) playing a Beethoven Sonata with a GoPro strapped to her chest: https://www.youtube.com/watch?v=q0m2RW4m8xE
Although you might want to avoid that last one if you're prone to motion sickness :)