I agree we went to many a shelter in our area and looked at other websites.... sadly many many of the animals were special needs and frankly would cost a ton in vet / special diet / medications etc to care for.There are three shelters I would consider within "driveable" distances. I looked at their available cats up for adoption - most are "special needs" and some require that you adopt a companion animal in addition.
I just want one healthy pet.
I think many are given up do to time and money needed to care for a sick pet.... many like us want to adopt 1 reasonably healthy companion.
We were about to give up when we saw a small dog they said had "no issues" .....we were there when place opened had a few people in line and adopted the dog ..... when they announced he was taken.... half the line turned around and left ......as most other choices in shelter were special needs.
They did not realize this dog had digestive issues. they said he had accidents because he was anxious.
It was a food allergy so once we found he could not have any rice in food he was ok ..... but I washed a lot of carpet / floor in the mean time.