One option I've liked in the past are small drip makers that sit on top of my coffee cup.
The one I used was a 3 part design. There was a filter assembly (with permanent filter), a water reservoir that would fit on top of the filter, and a lid. (I often didn't bother with using the lid, figuring that the heat loss probably wasn't a significant factor.) One simply poured hot water into the water reservoir, and the water would slowly drip down into the coffee grounds. Unfortunately, I don't know if this style is even made now--it's been years since I've seen it in a store, and I just checked one place that had these on-line a few years ago, with no luck. Also this coffee maker was obviously more work than an electric coffee pot with disposable filters.
Melitta (and others) make similar coffee makers that use cone filters. These seem common enough--the last I knew, several stores in my area had these. Some love these. I, however, wasn't overwhelmed when I tried one. I can see pluses (disposable filters make them more convenient). But the coffee wasn't as good IMO as the style I used years back. A large part of this, I think, is that the Melitta system requires more care--my old system you could just dump in the hot water, and be done. The Melitta system may need more care with putting water in for optimal coffee. Also the permanent filter of my older coffee maker might have been better than paper filters. Still...the Melitta system is cheap enough for most people to gamble a few dollars on, and even if one doesn't like it, well, it might be good enough to be a backup coffee maker.