Get my ps2 online and browse youtube in 2019

You'll probably be better off buying a cheap Android box or a Chromecast.

 

PS2 is too slow for even searching youtube.
Better forget about it if you don't want to be disappointed after many hours of trying to load it.

 

I don't need. I'm in touch with many more powerful devices and they struggle too.
Your Raspberry Pi 3 is many times more powerful than PS2 and is not that smooth with searching Youtube and 1080p video playback is not ideal. And in addition has native Linux drivers, not like PS2.
We are talking about device that has almost 20 years.

If you want to waste your time, go on.

 

Most YT videos have h264 (= MPEG-4 part 10) as the standard codec (or the more complex VP8/whatever)

PS2 doesn't have hardware video decoding; while Simple Media System (based on ffmpeg) proves there's enough processing power to play MPEG-4 (= MPEG-4 part 2 ~= Xvid) in real time, that's not necessarily extrapolable to h264 (with gratuitous added complexity of YT obfuscating direct links to the video file, and of relatively slow networking)

Playing FLV is probably realistic - but I'm not sure if recently uploaded videos still get converted to FLV, and even then most of the work is still to be done

All of this of course as a native application, not running on Linux, a web browser, and more abstraction layers...