I don’t know about favorite but I will give my first memory:
This was at a time when our lab had X.25 terminal access (9600bps I think) to some Unix hosts that were on the Internet but we didn’t have proper TCP/IP connectivity to the lab itself. I’d already used a bunch of terminal based stuff: Email, Usenet, IRC, FTP/Archie. At some point I downloaded Mosaic because I was vaguely aware of the buzz around it. I managed to compile it (or was it pre-built? I would have needed Motif to build it), fired it up, figured out how to open some local HTML files that came with it and I could tell that it was some kind of hypertext system. But it had no authoring and without proper Internet access the external links didn’t work. So I didn’t really get what it was about.
But I figured it out later on.
You might want to skip forward about 40 more years to be on the safe side.