I was unimpressed with the Fat Rice book. I never found the restaurant particularly good despite a very intriguing menu. I was hoping with the book I could take their ideas and execute them better for my predilections. The book has some delicious sounding dishes, but like many restaurant cookbooks (Mission Chinese comes to mind) presents an overly fussy version. I suspect you could get 90% as good with a lot less effort especially since most things are clearly analogous to staple dishes of the cuisine.
My recommendations:
Latin - Gran Cocina Latina
Culinary Mexico
(Maybe an older Bayless book)
Chinese - All Under Heaven
Phoenix Claws
Fuchsia Dunlop's Sichuan cookbook
Thai - David Thompson's Thai Food (all you really need)
Mediterranean - Anything by Paula Wolfert
Ottolenghi should do a greatest hits. I think his prolificity has caused inconsistency
Indian - 660 Curries
American - Real Cajun, My New Orleans
Ice Cream - Perfect Scoop. I also like Jeni's book for ideas, but not a fan of cream cheese base.
Dessert Baking - I go to Rose Levy Beranbaum, Alice Medrich and Dorie Greenspan. I also like Dianna Chang's books. I haven't found a pie book I would highly recommend.
Bread - Peter Reinhart book or Hamelman's bread