Gravity Feed HVLP powered by compressor: Odd ball finishes, for example I had a job that need the prefinished Anderson windows primed with a plastic and vinyl primer. Also used for any thing small where thinning a finish is not detrimental to long term durability. Works well on with spray stains for cabinet doors laid flat, not so good for cabinets. Not good for spraying upside down.
Pressure Pot HVLP, air compressor: Great for all spray stain applications. Work with lacquer (but I prefer airless for that). Most materials do not need as much thinning with this setup. For large pieces, dry overspray can affect finish, especially on full size doors. I used to use this for all cabinet door finishes in my shop, but found that my airless gave a better finish and quicker. HVLP had less overspray, but with proper fan use and a fine finish tip, I have most likely switched to airless for this. This set up comes the closest to my airless pumps though in how I use it.
Turbine HVLP: Great for portability. Use for similar things to Gravity feed gun (small items, needs material thinned). If it is a fast dry finish, hot air can cause problems when spraying large items that allows the turbine to heat up.
Airless: The new construction trimwork of all kinds painters best friend.
Conventional compressor power: only had a conventional gun for a little while, used too much air for my 25 gallone porter cable compressor to handle.
If you get a Bink's HVLP make sure you order the aircap (90P I think) that is designed for smaller compressors (smaller compressor=anything that you can physically move).