I have almost 200 type cards, 1880-1940. No interest in having one of every type, though. I just buy cards I like. Some types I have one of, and others hundreds of. Generally I avoid some of the smaller black-and-white issues or issues with poor likenesses of the players.
Here's 2 PSA type collections I'm working on:
T Card Sampler:
http://www.psacard.com/PSASETREGISTR...t.aspx?s=85460
T206 Backs:
http://www.psacard.com/PSASETREGISTR....aspx?s=103966