Ugh, I remember having to hand calculate the weekly standings from the Tuesday and Wednesday USA Today editions. (I think those were the days that the AL and NL stats, respectively, were published).
Dealing with trades or drops was a huge pain. Players stats stayed with you (or didn't start) until after the USA Today stats could be entered for that week. We didn't allow any players to sit on the bench, everyone on your team always played. Because dealing with drops and pickups was such a pain we had to institute a $1 transaction fee (we were all in college, and had no money, so this was a big deal).
Eventually I put together Excel Spreadsheets which made keeping track of everything much much easier. Still, though, me and my co-commissioner had to hand enter all the data each week.
Fantasy baseball is so much easier with the internet. It's just more fun to watch how your team unfolds as the games progress.
I still have my old Excel Sheets, but never use them. I've even created some new ones, but those are more for strategy. Especially in H2H leagues. I've got a couple of spreadsheets which track which teams are hot, which category I am dominant in, whether my wins (or losses) are anomalies or truly reflective of my team. They are pretty simple to make, and for an old hand who is used to entering weekly info into a spreadsheet, they are a breeze to keep up to date. Perhaps I'll post them somewhere if we ever get a downloads section on the Cafe.