I missed out on the classics over the years.
buy a ps3 and put HEN on it and you will have the good games people actually liked. act fast they are getting more expensive by the day
To add to this,
do not buy the fat or normal slim models of the PS3. They all suffer from the yellow light of death issue. Even if you get one that works it is only a matter of time before it happens. It's the worst on the fat models and AFAIK the slim models will do it if you try playing more demanding games like TLOU or Gran Turismo 7 but safe to say it will happen no matter what because it's caused by the same problem: the GPU. The only model of the PS3 that works reliably is the super slim.
Despite what those with vested interests may tell you, including that all you have to do to "fix it" is replace some capacitors (which may fix it
for a little bit, but only temporarily - I've had ones with the NEC/TOKIN fix work for a little bit then conk right back out during gameplay), it is unfixable unless you are going to pay close to $1,000 to have a professional remove the GPU from a super slim and frankenstein it into the fat. Or do it yourself, which is extremely risky and you can easily kill the GPU and both motherboards in the process.
Or you can spend under $100 on a working Super Slim and play GT7 for days. And if you want backwards compatibility, it will emulate PS1 and (some) PS2 games. If you want it jailbroken, follow this guide by MrMario2011 - it's simple and easy to follow.
If you want hardware compatibility for PS2, just get a fat PS2. If you want homebrew for it, make sure to get a fat one with an expansion bay on the back so you can throw in a 1-2 TB HDD and load that bitch up with backups. You'll also need a freemcboot memory card, either a SATA-to-IDE converter that you plug at the end of your hard drive and onto the network adapter's IDE port or a GameStar SATA adapter that goes into the expansion bay instead, and OPL installed on the memory card for loading backups.
A third option for the expansion bay; you can also mod the official Sony network adapter to put a SATA port on it instead, it's a matter of unscrewing it open and swapping out the board inside with the one from the conversion kit. It's more work but if the other options give you problems, there's that.
You should avoid the PS2 slim because after a while the ribbon cable below the disc tray will come loose and scratch your discs, and also no hard drive bay which means no joy.