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Refer to figure.
The figures show the caution lights in the Boeing 737 related to the hydraulic system. On this type, the amber caution lights will alert the pilots to low pressure, as well as a system overheat. There is also a low hydraulic fluid quantity light for the standy hydraulic system, and fluid quantity displayed on the MFD.

Generally as high fluid pressure is an unlikely failure, this fault is not explicitly presented to the pilots in the form of a caution / warning light.

The A320 presents cautions to the pilots via the ECAM. This type also alerts pilots to low pressure, fluid and pump overheats, low fluid quantity, but not a high pressure warning.