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It's likely that a circuit breaker servicing all these systems is tripping due to a short circuit. Since the ABS system uses a different circuit for warnings, the lamps light because it also detects a loss of voltage.
Unfortunately, so many circuits are attached to this particular power feed that tracing them one by one for an intermittent short circuit to the body or a wire-to-wire short is the only procedure to do from this point. A shorted power window switch, wiring shorts inside the door pillar passthru, a faulty blower moter and several other things will cause the same result, a power failure to many high-current applications. All of them will have to be checked to determine which is causing the outage. The good news is it's rarely more than a single part that is causing all the trouble.