And to answer your question in the title, it's those cars that you see in Dream Car Series. You might say that's not "close", they just are! But they are dream machines so...
The McLaren F1 GTR however, is a GT1 car in the mid-late 90s which means...it's admittedly one class above any GTs that you see in FIA GT or LMS nowadays. So anything around 1100kg, 600 break horsepower, that'll be classed GT1 nowadays, and GT2 back in McLaren F1's time. (Or maybe LMGTS...gosh it's getting annoying!!)
And, I've probably said it various times, that due to regulations(especially about the chassis & aerodynamics) the GT500 vehicles' closest counterparts are the DTM vehicles with better tyres; a GT1 class machine could not match their laptimes in almost any circuit other than de la Sarthe/oval tracks which explicitly asks for more horsepower & less downforce; which means in GT5 they've got it somewhat wrong.
It's a bit off topic but better be tedious than to be unclear.