even internet surfing, a 68030 will do and doesn't present the incompatibilities of a 68040/060.
I challenge you to have an "enjoyable" surf with an 030 and 0.5Mbyte chip RAM and 4Mbyte fast RAM (largest amount the common A2630 can have).
I second that:
surfing wasnt a lot of fun in my classic setup of 2MB Chip, and 8MB Fast RAM. and an AGA chipset !
I had to deal with mails first, then close down YAM if I wanted to Surf (IBrowse 2.2).