Bach is great. the way he writes melodies is pretty unique... they always seem so mathematical and mechanical in the way they work, like a finely tuned machine.
to be honest with you, your best bet is to immerse yourself in classical music from all periods, and wait until you start hearing melodies that you like the sound of. I know I'm a minor guy, I like baroque (but the harmonic progressions are too quick for me; its gotta be late baroque), etc etc...
but that's just me. you need to find out what it is that you like about classical music yourself... I used to think that I was in love with bach, and bach only, when it came to classical music. I was wrong; I just didn't know what it was that I liked about the music yet.
Likewise, what you class as 'bass friendly' is going to be subjective too. Ideally I suppose we'd be talking a monophonic piece, but there aren't too many of those. If you can stomach it, try some of the baroque (or later) pieces written da chiesa; they tend to be a bit more learned/technically challenging, and they're always a fun workout - just follow the melody line.
if all else fails though, nothing wrong with starting with the classics (so to speak

) - Mozart's Rondo Alla Turca, Beethoven's Fur Elise, Bach's toccata and fugue (IIRC the book you have is mostly the cello suite pieces, his famous bourree might have been in there too).
can you read sheet music, or just tab? if its the latter, it's definitely worth learning how to read sheet music. get to the library and check out the scores they've got.
hope some of that helped a bit! and good luck
