I'm very interested indeed, much of my other listening (such as it is with work and children) is baroque, including vocal music like Bach's and Händel's cantatas and oratorios.
Rameau's
Platee conducted by Minkowski is one of the most delightful opera productions I ever saw, I think even children would love it.

Another Rameau I love is Robert Carsen's production of
Les Boreades conducted by William Christie.

There is relatively cheap box of Rameau's 5 operas (Les Boreades included) on Presto, which is recommendable but I'm not sure if you'd want all that Rameau at once.
Lully's
Atys conducted by William Christie is late 80s seminal production that kick-started worldwide interest in French baroque. It's been re-staged and filmed

My absolute favorite opera on DVD is Cavalli's
La Calisto, Ovid by the way of Commedia dell' Arte, with Maria Bayo conducted by Rene Jacobs. Unfortunately it seems out of print.

Of Monteverdi I like Savall's L'Orfeo and Christie's Poppea.

I'm not much familiar with Handel and Vivaldi operas but Handel's Giulio Cesare is pretty much universally beloved.