Types of hay...wish I had a comprehensive list, but these I've gathered:

Timothy
Alfalfa (Lucerne)
Fescue
Peanut Hay
Bermuda Grass
Orchard Grass
Clover

Additions from Google:

Veld Hay
Yellow brown in colour, long and has no seed and no nutritional value [my note: now why would anybody want hay that has no nutritional value?]

Red Grass Hay

Erogrostis

Teff
(Is a seed hay therefore high in protein
Very soft to the touch
Sweet smelling
Is quite long in length and because of the price is mostly fed to racehorses)

Oat Hay

Brome Hay

Meadow Hay

Cocksfoot Hay

Ryegrass


There's a polysyllabic hay I can't remember, but it begins with an "l"--does anybody know this one?

I'll add to the above list as I research hay on google. They're rolling up the first yield of hay now in our county. Some hayfields yield three cuttings; some, two.