There are some differences between AN,SAE,and JIC hose fittings.
I used to do a lot of work on boom trucks and heavy equipment so I've used just about every type of hose and hose end there is.

SAE and JIC 37* flare are identical, there is no such thing as a JIC 45* flare, however, there is such a thing as a SAE 45* flare. The SAE 45* is used in low pressure applications such as plumbing and LGP or NPG installation.

Both JIC and -AN fittings are 37* flare seat angles. -AN is often incorrectly assumed to be the aluminum version of a JIC fitting, but in all actuality, -AN can be made from as many or more alloys than the garden variety JIC. Technically the fittings should not be interchanged, however, the only difference between -AN and JIC is the thread class. -AN is a military/aerospace spec fitting, with a tighter thread class (but still the same size and pitch as JIC) and is mostly intended for space shuttles and air planes. JIC was standardized to be a less costly High Pressure fitting that has no requirements of keeping a space shuttle in the atmosphere.

The fact of the matter is, that you would be extremely unlikely to find a actual -AN fitting for sale in any motorsport's catalog, or online web store. Most of the stuff marketed as AN whatever thingamajigger is actually just an anodized aluminum JIC fitting. Any true -AN fitting will be listed in it's catalog as conforming to mil spec MIL-F-5509.
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