Just for the record, here's the best way to get Tron 2.0 running on Windows 7.
1) Install the game.
2) Install the Unofficial Patch. With the Unofficial Patch, you don't need any No-CD crack.
3) Edit the properties of the Tron 2.0 shortcut icon, and set the game to run with Administrator privileges.
No need for XP compatibility mode, no need to mess with DirectX.
I also made a video showing how to do these steps. (It mentions the Killer App mod, but it still applies even if you don't use the mod.)
I'm not sure what caused a black screen for you, and it shouldn't be necessary to run Lithtech.exe in XP compatibility mode or run it directly. But glad you got it working, regardless.