Dave Fellows tells us not only Bird Collectives but some Mammal and Insect Collectives, here.
CoolQuiz.com has a nice, long, inter-mixed list of Collectives here.
Patrick, from Patrick Communications has a two-page PDF that’s ready to print including the elusive Collective answering what you call a group of Zebras, here.
If you’re lazy to click links, here’s a few group names that appear on each of the above list:
A Muster or Orientation is what you call a group of Peacocks (Dinarius is next to a bird Sanctuary and this whole article came about when trying to correctly caption the following picture)…

A Farrow is what you call a group of cute little Piglets.
What do you call a group of sparrows? The Collective Name for Sparrows is a Host of sparrows.
A group of Mules can be a Barren or a Span.
What do you call a group of ducks? That depends on their actions. Ducks are called a Team when just floating, a Paddling when swimming together or a Brace.
What do you call a group of Turtle Doves when the Dove Collective is a Dule? A Pitying is reserved just for Turtle Dove doves.
The most popular question on the Internet concerning Collectives? What do you call a group of CROWS? Thanks to their dark nature probably, we call a group of crows, a Murder.
Thanks to this article, people now want to know most of all, what do you call a group of peacocks? The female peacocks are called peahens.
While not normally musical or that keen on being collected, to be proper, you would refer to a group of prostitutes as an anthology!
From the, “ASK DINARIUS” Button: A group of turtles is called a bale of turtles.