I'm looking for a site where I can publish my poems.
I'm not keen on rewards; I just need a place to publish it.
I've found poetry.com that seems to be what I'm looking for but they require a Facebook account to log in and I don't have one (and don't plan to create one).
If you're not looking for any rewards as such, I'd suggest signing up for a tumblr or wordpress blog and publish your poems there, and give people the link to your poetry.
Try duotrope.com for lists of poetry magazines and websites, paying and nonpaying. Though if you don't care about payment, setting up a free blog of your own would work just fine.
Write Out Loud is UK based, but it has a nice (though little) poetry community. LiveJournal is still limping along, and is still the writing community of choice for a large number of people.
While I already know you chose a best answer, I thought I'd still share a site for future visitors to this question. There is a good site where you can post up your original works (whether it be a very long story, very short story, or poetry).
FictionPress is a really great site. There is also a review system in place so you can get critique from peers.
You could try Jottify
It's pretty easy to sign up there and if you take the time to comment on other people's work you usually get quite a few comments on yours too :)
If you get a Facebook account, you can publish them there, with a built-in audience. I suppose, however, you couldn't be anonymous, and you'd have to collect friends.
