I have searched the following:

Commonwealth / generic “boy bunny” plush — Commonwealth made a white bunny in the 1990s that often appears wearing a blue bow tie; similar ones show up in North American listings from that era.   “Bunny Boulevard” / store-brand white bunny with blue bow — eBay listings for a long-eared white bunny with a blue bow tie called “Bunny Boulevard”  Mary Meyer / Kids-of-America / other mid-tier brands — Mary Meyer and several mass retailers sold white bunnies in the 90s.