I haven't thought about this before, though I have been learning Eng. for 7 years..
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CalifJim "on" adds encouragement. "over" emphasizes the trajectory. "here" or "there" emphasizes the destination. "come" and "go" are hardly ever used 'bare' compared to all the other variants.
CalifJimNo other expressions come to mind immediately.
Maybe, "Move on!" (police speaking to members of a crowd gawking at an accident, for example.)
Come on, MrP! What are you thinking?