Not so sure about international sites, exclusively, but rootsweb.com is a site related to ancestry.com, but it has a search engine apart from ancestry. Not concrete documents and such, but names, which is better than nothing at all. you can research full names, some documents, and message boards, which can be filtered through locations or surnames..
Familysearch.org-can be helpful, but sometimes it can give the wrong name, as I've come across in tracing my ggrandmother's line, and I'm currently pissing and moaning about not being able to use ancestry.com..they did have a beta search which was much better, except it has a lot of bugs in it, being new and all, and I can't get it to work for me at the moment.
I google things, a lot. Type in names and dates in different variations and sometimes I luck into a page someone else created or an inquiry someone posted somewhere that pertains to my family..I've got a long way with just this and rootsweb actually.
findagrave.com can be useful and you can search by name, state, county, cemetery name, etc..
And, some states do have limited records available online, mine is one of them but I've noticed many surrounding states do not...some provide scanned pictures of birth, marriage, and death certificates..
Hope some of these might help you :) I know its frustrating to try to research genealogy when you don't have much to work with..but seriously, google can be your best friend here..