Let's dive in:
> Daddy pig is portrayed as an idiot
And yet he is loved by his family. He makes mistakes but also has many successes. It's probably his pride which is made fun of; he thinks of himself as amazing and perfect and yet makes mistakes, which are humorous in that context.
> All of the animals are married to animals of the same type
They sure are. I'm not sure why this is racist (but feel free to educate me at length). The target audience is two-year-olds, after all.
Come to think of it, I don't know that they're even married. Adult relationships aren't touched at all. Perhaps they're cohabiting but divorced due to London property prices.
> The only person in the show who seems to work, Mrs Rabbit,
Except for Daddy Pig, Mummy Pig, various workers at Daddy Pig's office, Mr Bull & friends, teachers, police etc etc.
"Friends" doesn't focus on the working lives of the main characters for the obvious reason that it's boring.
Mrs Rabbit doesn't seem exhausted (except as the explicit topic of one episode); it's more a Homer Simpson thing where it's funny that she does so many different jobs.
Accents are definitely racist though. Let Sarah Ann Kennedy know that she is a bad person.
> It heavily promotes the British royal family
It's a British show; why would you expect anything else?
Here's my gripe: animals never eat animals. It's always corn or carrots. Now, in a multi-racial society filled with animals of different needs, how does one get enough protein? I'm sure Mr. Bull has a little rabbit cage in his basement with a forced breeding program, his dark secret. We could explore it over the course of three episodes, as he is slowly outed and blackmailed by his friends. It culminates in an electric chair scene where he screams "Let's DIG UP THE ROOOOOAD!<zap>". Then everyone has meat for dinner.