My circa-2002 Mr. Coffee brand drip coffee marker has an automatic cut-off. I have never bothered measuring it precisely, but I think it cuts off at around an hour and a half or two hours after being turned on. Believe me, there have been many times I put on a pot of coffee, got "in the zone" working on some code, got up a while later, walked in the kitchen, and found the pot of coffee stone cold. Much to my dismay. Although as a former firefighter, I do understand the intent behind this, and I can't really be mad about it.
I inherited an older Moccamaster, which does not have the timeout, and the newer one went straight to storage.
Unfortunately the old button without a timer is not sold as a spare anymore, or I would have "downgraded" the newer machine.
There are coffee machines that pour coffee straight into thermos.
I personally can't stand the taste of 'cooked' coffee. I'll grind and make another mug when needed in an espresso coffee maker. Doesn't take long at all. Mine is manual but you can have automatic machine to shave off even more time.
It flicks off every 40 minutes. Turning it on after 40 minutes will keep it warm as the hot plate has residual heat that keeps it piping hot for about 5-10 minutes fter it switches off.
Except for (the complicated mechanical mess that is) Black & Decker, the cheap ones I've encountered don't have any one-time-only control mechanism, they just cycle the thermostat if left on long enough, which means the heating element is powered long enough to pop the thermostat again. Then they put thermal fuses in to deal with any heat buildup.
I have a Black & Decker one, it have 2-hours shut off. My previous maker is Mr. Coffee and it have 4 hours shut off.
The only I know that consumer coffee maker don't have the auto shut off is the one that have a rocking switch and they are normally the most basic kind ($10 - $30 USD).
Mine has one, but something is causing it to get stuck in the on position. We know about this because it repeatedly clicks while trying and failing to turn itself off.