The menu moves between small plates, seafood, meats, vegetables, and house-made specialties, built on Compton's Caribbean upbringing, French culinary training, and experience with Italian cuisine, and leans on Gulf and Louisiana ingredients. The Curried Goat with Sweet Potato Gnocchi has become the dish most associated with the restaurant, and regulars consistently single out the biscuits.
Compton won the James Beard Foundation's Best Chef award in 2018 after a finalist nod in 2017, and the restaurant has since been named a Beard semifinalist for Outstanding Chef in 2023 and for Outstanding Hospitality in 2025. Michelin selected Compère Lapin in its 2025 guide, and NOLA.com's Times-Picayune named it among the city's best restaurants that same year.

