I have a fat, chipped PS2 that I used to use for playing PS1 games. Got a high quality SCART cable and used to game on a 26" HDTV with no problems at all... games looked just as good on that as they did on my old 28" CRT TV.
That console will likely be going upstairs into the bedroom now.
These days I play using my USA and UK fully B/C PS3's. Games look and run great on both of them, and that's going out through HDMI onto a 40" TV. Suikoden 1 and 2 actually looked surprisingly good for their age.
60GB (120GB WD Scorpio Drive) PS3 (CECHA01, NTSC), 3.7OFW
60GB (640GB Samsung Drive) PS3 (CECHC04, PAL), Kmeaw 3.55, Repaired (Dead Laser)
PSP-1003 FAT, CFW5.00 M33-6 & Prometheus v2
X-Box 360 Xenon (JTAG'ed, 500GB HDD)