I never heard of “Time Team”! I just checked it out. I would love to see the entire series! Looks very entertaining as well as educational!
You can find a lot of episodes on Youtube. Each episode is unique so you don't miss anything by skipping around. It ran for over 20 years so there are loads of great episodes. I don't have any streaming service but I wouldn't be surprised if you could find it on one like NetFlix.