Welcome back!
It depends on how hard core you are. There are people here who surf with accelerated A500s using ECS. I happily do all the things you mentioned and more with Ibrowse 2.3 over dail-up. A graphics card does make it faster and cleaner, though. I think Ibrowse is soon to be updated. It's tough to define "soon".
Yam is a great E-mail program, IMHO. For my use, it's as advanced as the offerings on other platforms. I like it much better than Outlook.
I don't find Amiga internetting to be too primitive, but, I'm not a technological fashion leader either.
