BuyItForLife

Assuming you mean an automatic drip coffee maker, Moccamaster is definitely the most "BIFL" one out there, as it makes pretty good coffee and the design basically hasn't changed since the 1970s. Downside (or upside depending on how you look at it) is that they are hand made in the Netherlands, which makes them kind of expensive compared to most other options in the us.

Oxo makes a really similar brewer in their 8 cup which in some ways is a little nicer than the Moccamaster. The drip head is a bit larger so the drip is more even, there's a vent on top you can use to heat your mugs, and it comes with an extra cone to brew single servings directly into your cup. It's also not cheap, but less than the Moccamaster. Downside of course is that you're not buying something quite as proven.

I have friends who have sworn by Bunn coffee makers, and while I think their commercial units are basically bulletproof, I've personally experienced a number of the residental ones fail.

One other downside to all these is that they tend to not have any extra features like timers and whatnot, but that's probably why they have lasted so well.

Consider using a Chemex. If it's kept away from explosions and impacts with rigid surfaces, it'll keep 'working' until the heat death of the universe. You can even keep using the same filters if they're the right size.