There used to be AuxParty (a clone) but I think what comes close now is Campfire.gg — watching YouTube/FB/Twitch videos together and/or listening to Soundcloud tracks with friends (which is how I use it)
AuxParty looks amazing but the fact that it requires a premium Spotify subscription and doesn't seem to work well on mobile is going to be super difficult I think for some of my friends. Campfire doesn't have the avatars but no Spotify requirement is super nice.