This is not an exhaustive list of available recordings, but are some of my favourites. If you’re interested in more recordings or live concerts, start by having a look at the websites of The London Handel Players and The Orchestra of the Age of Enlightenment.
Barthold Kuijken: Barthold’s recording of the Flute Sonata in G Major by G.F. Handel is what originally sparked my interest in Baroque music. His recording of J.S. Bach’s Flute Sonata in E minor is also superb.
Rachel Brown: Rachel has produced a wealth of recordings, and I advise listening to any and all of them. She’s truly a master of the traverso and of Baroque style. I highly recommend her album of Handel solo sonatas.
Lisa Beznosiuk: Lisa, currently professor of Baroque Flute at the Royal Academy of Music, has recorded all of the Bach and Handel flute sonatas. They are available for purchase.
Claire Guimond: Claire, professor of Baroque Flute at McGill University in Montreal, has an extensive discography. Her Telemann Fantasias are particularly lovely.