A lot easier to just stop the payments and stop using the service. 99.99% of companies are not going to sue you over a few hundred dollars for a service you're not even using.
Can you not just give them notice in writing, say by registered post? Or do these contract limit termination so that it must be done over the phone and the contract isn't terminated until the company says it is? And if so, is that even legal?
[1] https://en.wikipedia.org/wiki/Anticipatory_repudiation
I don't think so. I'm looking for straightforward contract termination, and the providing of notice for contract termination, where the contract already explicitly permits termination. I don't think failing to perform on a contract needs to come in to it.
I assume that contracts for services such as electricity and cable already have such termination clauses, so it just a matter of how notice of termination is served.
That's a terrible strategy. It doesn't free you of any actual liabilities if you're under a contract.
It's like saying that refusing to send a check to pay your electricity or post-paid phone bill is a way to "get out of a contract". The company will just send you to collections (most likely) or sue (if your debt is large enough).