1) F*** it and stay in. Besides having to listen to all of the "OMG, the party I went to was sooooo awesome. You totally should have come!" comments for the first two weeks of January, ringing in the new year with a close friend or two, the cat, a bottle of champagne (or two) and the flat screen is a perfectly acceptable alternative to the huge and often over-priced parties your other friends are attending. Plus, if you don't feel like going out, you don't have to -- break-ups are tough to begin with, and NYE can be a tough night, regardless of how long it's been since your last relationship (or even if you're in a relationship). So F*** it -- stay in and veto the parties.
2) Have an Anti-NYE Party. Part of what makes NYE stressful is the aforementioned pressure to rage for a night. If that's not you or you just don't feel like it, put the feelers out to see if anyone else is feeling the same way (and there will most certainly be takers.) A low-key get-together with close friends, with no pressure to "party like it's 1999", can be a great alternative to both staying in and ignoring the night and forcing yourself into attending a huge party. Make everyone bring something to drink and something to eat, and there'll be nothing for you to worry about as the host/ess. Bonus: Give it a costume theme like ninjas versus zombies, and you'll be sure to have a good time.
3) If you want to go out, bring single friends. If the gigantic party calls to you but you don't want to get stuck sans a kissing partner at midnight, plan ahead and bring a bunch of single friends with you. Make sure that everyone meets in a pre-determined location at 10 minutes to midnight and then, at midnight, have a group hug/kiss.This takes the pressure away from either having to find a hot stranger or having to watch everyone around you make out when the clock strikes 12. Plus, you'll make everyone around you jealous of your happy cuddle-fest.
4) Mingle, mingle, mingle. NYE parties attract couples and groups of single friends alike, and so it's relatively easy to find other singles at a large party. Even if you're not ready to start dating again, it can be a fun challenge to bring an outgoing friend and talk to as many people as you can at the party. If you need a reason to talk to people, make up a series of "survey" questions to get the conversations started: "Hi - my friend and I are doing an informal survey. What's your favorite NYE memory?" You never know whom you might meet and interesting, fun and random conversations are guaranteed.
New Year's Eve can be a blast if we remove our expectations about what we think we should be doing -- something that's especially true for immediately after a break-up when we're still a bit raw and memory-filled. NYE is a night to celebrate the new and enjoy good company, so instead of focusing on the should, let's focus on what we want to do and what will make us happiest and vow to make this NYE as action-packed with new, fun-with-great-friend memories as possible.