Emma, do you have a Netflix DVD account? They have a
very large selection of BritComs:
Waiting for God
Vicar of Dibley
Good Neighbors
Keeping up Appearances
Yes, Minister. Used to have Yes, Prime Minister but I am not seeing it listed currently.
Fall and Rise of Reginald Perrin (with Leonard Rossiter)
Reggie Perrin (with Martin Clunes)
Doc Martin
Open all Hours
As Time Goes By
Father Ted
Ballykissangel
Rising Damp
Men Behaving Badly
Monarch of the Glen
Red Dwarf
Absolutely Fabulous
French and Saunders
Only When I Laugh
One Foot in the Grave
Butterflies
Mapp and Lucia
Coupling
Mr Selfridge
Land Girls
Call the Midwife
Downton Abbey
Larkrise to Candleford
Lovejoy
Black Adder
Only Fools and Horses
Are You Being Served?
Chef!
Cold Feet
Miss Fisher's Murder Mysteries
...
Just to name a few shows, they have many, many more, haha. A great source for us Anglophiles. I pulled those up from a quick search of British TV from Netflix and yes, I have watched all of them through their DVD program over the years. What can I say... I'm a fan of the Brits.
I do not think that the streaming side of Netflix has as many classic BritComs of the type we enjoy. Demand for them may not be as high as more popular or trendy shows of today

. At least they did not some years ago when I tried it. Due to a slower internet connection at the time a DVD seemed to make more sense. I continue to keep my DVD account with them still active.
Hope this helps you with options rather then waiting for a TV station to maybe get around to playing something you want to watch.
Rick