I have to agree with dreama above games actually look pretty good for ps2 well above average even for a few of them.
Thunderbirds is a definitely a gem if where talking bad looks that's quite a find
5: police 911
Police 911 imo definitely has N64 vibes
I don't mind the grapics especially since it's actually a pretty good game but it is below average
While it ain't native to the ps2 the arcade game came out in 2000 wich counts as early ps2. not to mention arcade games at that time especially 3d ones usually looked a hell lot better than their console counter parts. especially the ps2 console usually had to trim down an arcade port to make it work even in ps2 era if where talking about it's 3d fighting games. arcade cabinets had more power, tekken 4 and virtua fighter 4 on ps2 for example the arcade versions where superior eventhough they where released 1 or 2 years earlier.
Besides the iconic time crisis series on ps1 and ps2 also came on the arcades first usually years earlier before they got a console port and those definitely count as some of the more iconic sony games. same situation here I'd say
also another counter point time crisis 2 ps2 in wich the arcade version came out in 1997 and it looks a hell lot better than police 911 wich came out 3 years later in the arcades (2000).