Actually we have a season on crows and they can't even be shot on some weekdays:

Crow

Season:
August 16-March 20 on Monday, Wednesday, Friday, and
Saturday only

Shooting stray dogs is generally frowned upon. Most localities have animal control officers that technically should be contacted to handle them. I'm not saying that is what is done, I'm just saying that would be the "proper" way to deal with them. As far as recreational shooting on Sundays, that is permitted as long as the locality does not have any restrictions against it.