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.

Check out Moccamaster.

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.

French press is the cheapest, simplest way to brew coffee. You don’t need special filters, electronics (that break), or even an expensive one (I use a like $25 one from Amazon).

I know not what you asked for but realistically imo it’s the only one you’ll be buying for life.

For a drip coffee maker, I would buy a Moccamaster again. Ours have run daily for over ten years, and only issue is a broken LED. Which we will fix at our own convenience. Raipairability and replacement parts availability is a great pro for Moccamasters.

The One maintainance tip for drip makers if you want your coffee to stay fresh:

Only ever use a clean container for adding water to the machine. Never ever use the pot for this without thoroghly rinsing with soap first. The fat from the coffee beans will stick to the inside of the heater where it accumulates and adds a foul taste to your coffee forever.

I’m not dead yet, but my Cuisinart, “Mr. coffee”style coffee maker has been going for at least 15 years and parts are available still. All the electronics still work so I can program it to have coffee waiting for me in the morning. 

Here’s a link to a brand new one that looks exactly the same as my old one.

https://www.williams-sonoma.com/products/cuisinart-12-cup-brew-central-programmable-coffee-maker/

I love my kettle and pour over set up. Keeps my taste buds safe from a stale cup.

https://www.sweetmarias.com/brewing.html

It's surprising to me that a percolator would not brew properly. As far as I can remember I made coffee without much thought in a percolator with great results. Perhaps look into that?

Otherwise, a French press might be of interest to you. Bodum has great products with spare parts.