Our family is over insured, I'm sure. We took every kind of 'just in case' insurance that they offered. However, we have no pet insurance. For the amount of animals we have, I don't think it would be worth it in the long run. We have 2 dogs and 3 cats and 4 rabbits. I don't even know if I could get rabbits covered and the rabbits have been our biggest veterinary expense. We have been fortunate in that we've had very healthy pets. Besides shots and routine visits, we've taken our shepherd to the vet once and our westie to the vet twice (and the first visit was free because it was right after we got her, she had kennel cough). Our old cat (13 years) has been maybe 3 times in her life, our kittens haven't been (again, other than shots, routine visits). We have a vet that is super reasonable. They saw 5 bunnies for us on a SUNDAY (so after hours charge) and we had to have antibiotics for them and more and only paid $70. We took our dogs to them for an issue they were both having with urination (turns out they both had UTI's) and the exams, meds, etc. all total cost us less than $60. For our current animals, I'd say that we've spent less than $400 lifetime total in 'surprise' visits to the vet. Shots and routine visits are super cheap around here.
Now, we did have a cat years ago that got hit by a car. We had him at the vet for a week and then had to take him to KU veterinary center and grand total he cost us around $1200 for his care. That was back before we had kids. We also had a dog that cut an artery in his paw and had to have surgery. We only paid $300 for that. That was in '95 though so the same surgery now would probably be a lot more expensive. Then again, the vets around here have always been super reasonable.
Anyway, all that to say that for US, having money saved back for these expenses makes much more sense than paying for insurance, especially if we are covering 9 animals!!