For pilots, are the procedures different between airframes with different engine options?
I can only speak for the Boeing B787, but the 787 Flight Crew Operating Manual (FCOM) indicates that there are slight differences between different engine options. Three examples:


autostart modes (different failures can be automatically detected and corrected for during engine autostart),
warm-up times before take-off and cool-down times after landing,
take-off thrust setting ("GE engines: Advance the thrust levers to approximately 40% N1" vs "RR engines: Advance the thrust levers to approximately 20 TPR" - this also indicates that the primary engine indications are slightly different: N1 and EGT vs. TPR, N1 and EGT).


I don't know though how much these slight differences translate to different procedures, as I am not a pilot.