Here is a list of verbs that start with BEG.
beg, began, beget, begged, begging
begin, beginning, begins, begotten, begrudge
begs, beguile, beguiled, begun
Hope you enjoy this page of verbs that start with beg 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.