Some systems don't use single ROM files, notably arcade games are usually .zip or .7z archive with series of roms inside, and PlayStation games are on CD, which can be cue+bin, img+ccd+sub, mdf+mds, udf and so on,
none of those are a format specific to SONY PlayStation, they are ordinary CD images.
Yeah, these are computer file formats, nothing to do with emulation. I.e. if you download a PC game from archive org, it might have the exact same cue/bin format, but instead of launching it in emulator, you would have to either mount the image in virtual drive or burn it to a CDR. Same with DVD. Never installed Microsoft Office from an .iso?
Also unlike roms, dumping them doesn't need any special hardware, it's as easy as inserting the CD into a disc drive and making an image in something like UltraISO. Anyone with a computer that has a CD-Rom could do that. So we ended up with some people using Nero Burning Rom, others Alcohol 120%, MagicISO, whatever, and got the chaos that comes with PC formats rarely being standartized.
Which formats to use for emulation depends entirely on what formats your emulator supports, i.e. old ePSXe had plugins that used their own compression, and Retroarch is good with .chd images, but .iso or .bin are binary images that are kind of universal...
*** *** ***
If you have a set of .bins, it's because they split the CD tracks, you usually need to use
.cue file to launch those, so the game grabs the entirety of the disc (if you launch data track alone, you might be missing music or dialogue), if your image was .mdf , the list file would be
.mds, if your image is .img you'd need
.ccd, but other formats exist that combine them all into one file too.
Generally, if your game comes in multiple files, look at the smallest one. If you can open it with text editor, and it lists the other files, that's it!
That's what you use. For multi-disc games it can get more complicated but .m3u playlists usually work (they are also text-based lists).
In fact, I remember making .ccd or .cue files myself with Notepad. They are plain text files that list all the files the disc gets split into by imaging software. It's easier to see for yourself than explain.
It all depends on game and release, really... the many files problem is mostly specific to PlayStation 1 as you could put the discs into ordinary CD player (or one included on PS1 if you boot it without a disc inserted) and listen to the music starting from track 02.
I like my PlayStation games to be in CHD, unless it's a moddable version I will need uncompressed to modify binary data (i.e. to apply translation hacks)... .chd format is just a compressed binary cue/bin image, and it takes less space but loads slightly longer. There is no quality loss and compression is reversible. There are similar formats like .rvz for Dolphin (Gamecube and Wii)...
Anyway, your can try looking up "PS1 CHD romset" or just "Tomb Raider CHD" and launch that instead, if your emulator supports it...
it seems OpenEmu wants you to uncompress back to binary image anyway so ignore what I said above, and instead of tracks,
just launch the .cue file.
If it doesn't work, you can open the CUEs with any text editor and see if it points to right files, after all they're just text files that list CD tracks and pregaps, really.