(There's no video for Classilla yet. Please contribute to MR and add a video now!)
Classilla is literally the best and most up to date web browser that can be used on Mac OS 8.6 or 9.x. Classilla is also open source and thus, free. It was derived from Mozilla Internet Suite, which emerged itself from Netscape Communicator's tweaked source code back in the days.
It is said in the source code repository that a security update is in the making (hopefully for supporting newer SSL encryption protocols, altough unlikely) but that there is no ETA for this update.
Classilla_9.3.3.sit (23.74 MiB / 24.89 MB)
/ compressed w/ Stuffit
Architecture: PPC (100mhz or faster recommended)
At least 64MB of RAM
Mac OS 8.6 - Mac OS 9.2.2
Note: If you are using a system with 128MB of RAM or less, or want to run Classilla on a system with less than 64MB of physical RAM, please see the section on Running Classilla With Low Memory below.
Emulating this? It should run fine under: SheepShaver