I'm obsessed with watching the livestreams from Farm Sanctuary (a 'no-kill' farm that rescues, treats, then houses farm animals).
The streams are so relaxing for when you just want to watch some farm animals graze, sleep, and hang out together. The cams are good for background noise too because you can hear lots of birds and the breezes in the trees in the outdoor cams.
Cattle Pond Pasture: This cam often goes into panorama mode so don't be worried if you don't see the cows all the time. My favorite cow is Charlie.
Cattle Pasture Panorama: Note - it doesn't always pan
Sheep Barn Cam: Good to watch especially at night so you can see the sheep nestled in
Sheep Pasture: Sheep grazing (along with a few goats)
Turkey Barn: Turkeys and chickens hanging out by their front door (Edit: Mostly anyway. Sometimes they focus on the turkey yard).
Charlotte's Pasture: Pig pasture. There are times when the pigs stay in their barn and are not on cam so you have to be patient.