I'd recommend you read up on municipal broadband, and the war the telecoms have waged against communities doing an end run around their shoddy and expensive service.
Likewise, look at the hoops they've forced Google to jump through to achieve even modest fiber rollouts. Google is among the biggest companies in the world. The only thing saving Google Fiber is that they are not some scrappy startup, but one of the most powerful companies in the world; without that power and economic clout, they would die a horrible death at the hands of AT&T's attorneys and pet legislators, as nearly every one of the thousands of independent ISPs did in the 90s and early 2000s.
Innovation in consumer internet service has been thoroughly strangled by the telecoms and cable companies. They've divided up the turf, come to some gentleman's agreements with each other about pricing and access, and now we're all just here to feed the cash cow. If ever there was a classic case of collusion (and, hell, I might even call it racketeering) among modern "legitimate" businesses, the telecom and cable business is it.
If you believe the lack of innovation and poor service is merely that no one is "competing", I'd encourage you to give that market a go. There's no competition, after all. It should be easy, right?