I agree that Meetup.com sounds like a good idea.

Or try a local library and see if there are leaflets there about groups (if you're into reading, there'll probably be a reading group).

Or, you could try internet dating sites. If you post a profile that says you are looking for friends as well as potential partners, it's a good way to meet new people. It also opens you up to rejection so if you're feeling emotionally fragile, may not be the best start.

Good luck, I've tried a few of the above and have met a few people I'd count as friends. I'm still single and feel disconnected most of the time but sometimes even just one connection can make a big difference.