Just because Microsoft has ruled out an Xbox One DVR feature doesn't mean that you're without choices. Nuvyyo has introduced an Xbox One (and Windows 10 Anniversary Update) version of its Tablo app, letting you watch and record over-the-air TV streamed from the company's networked set-top box. You'll get the "majority" of features you see on other platforms, including a TV guide as well as options to pause live shows and skip ads.
As always, the only real gotcha is the cost. The Tablo DVR's entry two-tuner model officially costs $220 (a four-tuner version is $300), and unlocking all the features of the TV guide (such as cover art and out-of-home streaming) requires a subscription costing $5 per month, $50 per year or $150 for lifetime access. If you're a cord-cutter and want to use your Xbox as your central media hub, though, the up front price may be small compared to what you save by ditching cable or satellite.