1. Web browser - Currently using minimo, but it lacks many features. I NEED to be able to right click and do "save target as"
2. Wireless support for Ambicom CF card - mainly use kismet
3. Good Ebook reader - support for TXT's - I love FBReader
4. IRC client - preferably Xchat
5. PDF viewer that doesn't segfault when I hit an arrow key
6. Galculator to work
7. working SSH client
I've put numbers on the questions you ask that I can comment on:
1: On Titchy(OABI) iceweasel works. On the Eabi versions Dillo works and some success with Epiphany and variants: NOT iceweasel.
2. I think I've seen success reported with the Ambicom cards in various threads.
3. fbreader works fine and installs from the repos in Titchy(OABI) and in EABI.
4. I've seen reports of success with irc clients in these threads.
5. I've seen evince remarked on
6. in repos for OABI and EABI, working for me now, as I type. in EABI.
7. Server and client both work under OABI and EABI.
As regards the rest of your questions: search in this forum and I think you'll find the answers.
If you don't care about the multimedia, sound video, the TitchyLinux has the most straightforward install path and the most complete set of repos. As far as I could see everything that a desktop could install was available. The resource limitations of the zaurus made some of the apps rather slow.
As regards the EABI versions, the install path is still a bit problematical. Some of the apps, libs are not all available. However, all of this is changing on a daily basis. The repos are being populated quite rapidly and a problem for today is quite often solved by tomorrow.
Jump in the water is quite warm! The company is quite pleasant too!