Depends on what you're playing
If you're playing limit... too bad
If you're playing no limit sometimes it's good to play connectors, suited or not
In no limit, 6-7 offsuit looks like a good hand to me - I'll call one raise with it even
and if someone has a big pair it's always fun outdrawing them since you have better chance to hit the straight

you'll find that more aggressive players need less good cards

limit is just mostly about playing tight
there is much less variation so I don't like it
I like to play no-limit tournaments

I don't know if no-limit cash games are that popular or not