I don't think your system will boot if the msvcp60.dll is missing or corrupt (but you can probably still fix it) however I am not a Microsoft engaged Support Engineer "expert" so do give those "expert" ideas a shot and let us know how that works out.
If the msvcp60.dll file is missing, you will see a message like this:
services.exe - Unable To Locate Component
This application has failed to start because msvcp60.dll was not found. Re-installing the application may fix this problem.
If the msvcp60.dll file is corrupt, you will see a message like this:
services.exe - Bad Image
The application or DLL C:\WINDOWS\system32\MSVCP60.dll is not a valid Windows image. Please check this against your installation diskette.
If you click OK (in either scenario), you will have an empty black screen with just a movable mouse cursor and Safe Mode with Command Prompt will not get far enough along to open a Command Prompt window so those are not good options for you. Task Manager will
not work either.
P.S. The first link provided by the Microsoft engaged Support Engineer "expert" doesn't work and the second link, if your system would boot, will give you the msvcp60.dll from 13 years ago, so I am not too sure that is what you need either.