Both my kids love rabbits - my 6 yr old when born was given a cuddley floppy eared rabbit toy, to which he still carries around with him at certain points of the day. He called his Flippertie.
My baby girl, who's now two also got the same fluffy rabbit but in a girlie colour, who clutches hers under her arm pit wherever she goes all day and night also calls hers Flippertie.
Suitable name for boy or girl - and my kids would of course love the idea that someone else's bunny was named after theirs.
And if it's good enough for them .................................