SAE inverted flares are what's most common on old, domestic applications, and they use 45 degree sealing surfaces. The most common brake sizes are 3/16" and 1/4" hard lines with 3/8-24, 7/16-24, 1/2-20 and 9/16-18 inverted flare tube nuts for the respective tube size, noting that 3/8-24 will not work with the 1/4" line size. Other applications such as fuel, power steering, or transmission lines can and will use larger 5/16" and 3/8" hard lines and possibly larger tube nuts.
If I could only have one tool, it would be a SAE inverted flaring tool...I happen to have a few of them, mostly specialized for brake line sizes. I have a rotary die style flaring tool that does SAE, bubble and AN with the proper dies, but it only works on the bench in a vice (
Rotary Die Flaring Tool). I also have a hydraulic flaring tool that can be used on-car if needed made by MasterCool...an older version of
this one. And then I have an older manual SAE inverted flaring tool as well, with the more traditional die and anvil arrangement and much more attractive cost (less than $80 for a good one).
Bubble flares are similar to inverted flares, but you leave them as a "bellows" type shape and don't use the cone die to "invert" the flares. All of the bubble flares I've dealt with have been either M10x1 or M12x1 metric, but that's not to say others don't exist. These are mostly relegated to cars from the 80's and 90's from what I've encountered, as most of the more modern applications have gone towards metric inverted flares. All of these still use 45 degree sealing surfaces.
Last but not least are the 37 degree AN/JIC type fittings. These are the industry standard for hydraulics and are used heavily in aircraft and other military influenced equipment, as well as most forms of automotive racing. I don't tend to make a lot of AN flares, but it's nice to have if/when you need it.
Tobin