You can watch a lot of those older programs free on streaming Internet sites. Pluto TV is just like basic cable. There is a channel dedicated to Midsomer Murders (it has commercials). There's one for Perry Mason. All of the episodes of America's Test Kitchen and This Old House. The CSI brand is well-represented. And IMDb has free streaming (I forget the name of the service it uses now).
I set the new TV so it automatically comes on to the OTA TV setting. That helps.