I've recently been involved in preparing a couple of supplements for Basic Fantasy Role-Playing Game.
One of these is all my own work; a selection of pre-generated equipment packs designed to make the already easy character generation even easier. Check it out here: Equipment Packs: A Basic Fantasy Supplement.
The second is a bundle of options for Backgrounds (that is: what your character did before adventuring) and Specialties (what your character does in addition to general class duties). These rules just give a few small changes to what your character can do. Of course, you could (and should) just write all this stuff in your character back-story but this supplement puts a few things in concrete for you.
Note, 99% of the work in this supplement was done by James Roberts, I just took the stuff off the Dragonsfoot workshop forum and formatted it. The publisher (+Chris Gonnerman) just decided that was enough to get my name on the credits! Get it here: Backgrounds and Specialties: A Basic Fantasy Supplement.
And while you are there, check out Quick Character Generation: A Basic Fantasy Supplement by +Chris Kutalik which does much of what the other two supplements do and more!