There a a lot of places on line to watch tv shows for free. You can find many by simply googling the show you want to watch. Sites I often use are project free tv, stream-tv.me, or tvmuse.eu. With these sites the newest episodes are usually posted the day after they air on tv, and you can find almost any show, including HBO and showtime favorites. I have used them to watch many shows, including game of thrones, supernatural, 6ft under, trueblood, ect.
I usually just watch on the computer since I have a large monitor, but when I want a bigger screen or the whole family wants to watch something I just hook my macbook up to the tv. We no longer have cable at all and don't miss it one bit.
But, if you do not have unlimited internet make sure to watch your usage. Watching online does not seem to use as many GBs as streaming netflix does, but if you watch a lot of tv you could go over your usage. I have never had an issue, but my provider has a link I can click to check my usage and then I can call to make adjustments to my plan if I need to.