Here are some sites that show you adoptable/fosterable animals in your area!
PetFinder: A site that allows you to sort through local shelter animals by species, breed, age, as well as a lot of other criteria (like if they are declawed, good with other animals or kids), though be aware that not every shelter uses these labels on their listed animals (so using them might mean you miss out on unmarked pets!). It's best to look through and ask your local shelter directly about any pets you're interested in! This site is one of the most used sites in the shelter world and only allows shelters and rescues to make pet listings!!!
Adopt-A-Pet: Similar to PetFinder, this site allows you to find pets by breed and location! They even have a rehoming resource to help get your pet rehomed quickly and safely. This site is one of the second most used sites for shelters and rescues to list pets!
24 Pet: Another site featuring adoptable pets! You can filter results by age, breed, species and more, just like the others! This site seems to be used by fewer shelters, but it can still be worth a shot :D!!!