Here is a list of verbs that start with WHI.
while, whimper, whimpering, whine, whined
whining, whinnied, whip, whipped, whipping
whipsawed, whirl, whirled, whirling, whirring
whisked, whisking, whisper, whispered, whispering
whistle, whistled, whistling, whitened, whitening
whitens, whitewashed, whizzed, whizzing
Hope you enjoy this page of verbs that start with whi and the rest of this verb list site as well.
Did I miss any verbs? Visitors can make this a more useful online resource by listing more verbs in the comments.