If you want to watch TV without involving internet, then definitely go to tvfool.com and investigate whether or not you could pick up a good signal with an antenna (and which type of antenna would be best for you). If you want, I can try to take a look at your results and help you interpret them (they're a bit techie).
I have an indoor antenna (with amplifier) that I bought for about $25. It goes into the antenna/cable input on your TV and picks up your local TV stations (in HD if they're broadcast in HD - I was amazed at how good the quality was!).
Depending on the signal strength in your area, an indoor one may be good enough to pick up a whole bunch of stations. I'm looking to either put mine in the attic, or get an outdoor one so I can pick up some of the outlying ones a bit more consistently.
The problem with using an antenna nowadays is that you don't get "snow" per se... you get either good signal or no signal without much in between (maybe some digital blocking and stuttering of audio, which is pretty awful), so if you can't put it in a good position for the signals around you, you'll be tempted to throw a shoe through your TV.
If you're interested in more than broadcast TV, the library tends to get DVD sets of shows. Obviously, after they're released, but if you can wait a while, it's a nice way to binge watch TV.
If you want cable-specific channels, then you're probably SOL without internet streaming.
That said, though, some of the side-band channels you get over the air can offer similar channels to cable.