Xeshra: I hope someone may provide a patch able to make it natively work on new hardware. As long as not available i am not stressing myself into making it work...1-5 simply is out of the collection. Back at those days, the PC was not very advanced and some consoles even had the edge... but nowadays matter are different, at least for the high end machines which are barely affordable.
Actually back in these days the PC was clearly better. Tomb Raider was designed for PS1 and only had software rendering on that machine.
On the PC it had 3Dfx Voodoo graphics, no console had something similar. When Tomb Raider was released, I already owned a Pentium with 24 MB RAM, CD-ROM, 3Dfx Voodoo and a Soundblaster16, that was by far more powerful than any console on the market.
Also in the 2D segment the PC was stronger, VGA and SVGA were unmatched.
The "weak" point was, that there were so many competitors when it came to gamepads and sticks and no standard. On the console you could not chose what stick to use, every game was made for the same model.
Flightsticks and compatible gamepads however had to be calibrated, something that the programmers of TR1 did not include in their game.
Also programmers for the PC had to keep in mind many different sound and video systems, especially in the US old EGA hardware was sometimes present. Basically it was the same as it is these days with the graphics cards. But with the early mid 90s they stopped supporting anything before VGA.
At least with some tweaking we actually ARE able to play many of the old games without emulators (yes, I know that DOSBox is a emulator, 16 bit don't work on modern processors). On consoles this is not possible. You need to own a console from that time to play the games.
The alternative would be to do the same as console players do and set up an old Pentium for retro gaming.
ps: There is a remake of TR1 called "OpenLara". You might want to check that out.