Here are some pun-based names incorporating "bunny" and "fabulous," aiming for a range of tones:

Humorous/Silly:

• Bun-derful
• Fab-bunny
• Hop-tastic
• Hare-raisingly Fabulous
• Cottontail Cocktails (if applicable to a business context)
• Bun in the Oven (if applicable to a bakery or similar)

Clever/Witty:

• Bunnylicious
• Fab-ulous Hare
• The Hoppin' Hotspot (if applicable to a location)
• Hare Today, Gone Tomorrow (if applicable to a fleeting trend or event)

Sophisticated/Elegant:

• Le Lapin Fabuleux (French for "The Fabulous Rabbit")
• The Bunny Atelier (if applicable to an art-related business)

More Abstract/Conceptual:

• Velvet Whiskers (evokes a luxurious, bunny-like image)
• Emerald Eyes (if the bunny has green eyes, or if it's a metaphor)

The best choice will depend on the specific application. Consider the target audience and the overall branding when making your selection.