Consider using an emulator! That's what i'm currently doing. I own a copy of the game, but unfortunately my ps1 and ps2 died as well. :(
I recommend Vimm's Lair. They have both the emulators and ISOs to play the game.
I would suggest using the ePSXe Playstation emulator. It also has more advanced graphics port so, if you adjust the settings accordingly, the game actually comes out looking nicer than it did on the ps1! i'd show a screenshot, but unfortunately ePSXe screenshots always show up blank. you can't screenshot it. :(
The ONLY problem i found, however, is that when switching to the 2nd disc portion of the game, i actually had to insert the 2nd disc and boot it from there. It won't pull from ISO itself.
But i even went and purchased a usb controller and then hook up my laptop via hdmi cable to my tv and BAM. i'm reliving the dream, baby! :D
pm if you need more info if you're not familiar with emulators. :)
Edit words
What a dick, good luck finding a new disc 1. If I’m not mistaken square also sells reprints on Amazon. Chrono Cross - PlayStation https://www.amazon.com/dp/B00004TC6E/ref=cm_sw_r_cp_api_glt_i_DB0Y3A62BYBBFAHHBA45
Wait 6-12 months for the physical edition, happened the same with Final Fantasy 8 and 9 Remaster.
https://www.amazon.com/-/en/Final-Fantasy-VIII-Remastered-PS4/dp/B08LB4HJT2
Here is the direct link for the US Google Play page to buy the album.
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Amazon also has it available if you prefer their ecosystem but it's $11.98 vs G Play's $8.99 price.
Buy a used copy of the official guide off of Amazon. It’s pretty good all around and you don’t have to use the Internet to browse through info. It’s all neat in a book. It’s cheap on Amazon, $12.