Here is what I do for my vehicles:
Engine at: 600 Miles, 1875 Miles, 3K miles, then severe duty schedule as per the manual until I can run the first UOA to see what the engine is capable of. I don't trust OLM's because I think they are too generous in most instances.
(Flushes out all the sealants, assembly lubes, and break-in swarf from the engine internals and oil pan with these frequent changes all at the beginning and it's cheap insurance) I typically only change the filter on the last change.
Transmission at: 30K Miles (Complete fluid and filter change). You can also do drain/refill (partial) at 1/2 that and again at 30K miles.
I prefer the first method but on some transmissions it's difficult or they don't have serviceable filters so I use the secondary method instead)
Hydraulic Power Steering: First/Every 30K miles
Coolant: 1/2 the OE interval for time/mileage and I just spill/fill the radiator. Doing it this way versus running it to the end of the interval allows you to always have fresh coolant and never need a full flush / exchange.
Differentials: Within the first 30K miles and then every 50K miles thereafter.
Brake Fluid: Every 2 years regardless of mileage because of moisture accumulation