Before Marvel’s Spider-Man on PS4 set a new gold standard, there was Spider-Man 2 (2004) – the game that redefined web-swinging for a generation.
This will usually lead you to the playable "Software" entry where the "proper text" is the game's title screen and interface, rather than a downloadable data file.
A screenshot of Spider-Man perched on a skyscraper in the 2004 game, next to the Internet Archive logo.
If you are looking for the Sam Raimi film:
Search “Spider-Man 2 (USA)” on the Internet Archive’s Software Library. You’ll find the GameCube ROM (playable with an emulator or via their browser-based emulation) and sometimes the PC disc image.
You can find archived television broadcasts like the FX TV premiere, which often contain scenes and transitions not found in standard theatrical or home media cuts.
If you are looking for the beloved console game released on PlayStation 2, Xbox, and GameCube: