Artistic Roller skaters tend to execute movements that exert a lot of force on their gear. They also tend to practice and perform on "tight" floors.  

Boots are quite stiff to resist force and deformation from spins and jumps. Plates tend to have toestops situated to barely extend past the toe. Skating on a grippy floor, they freely use harder wheels that ordinarily would be too much for standard skate affair. 

⦿ Boiani Star ⦿ Roll Line wheels 

JB skaters can make do on almost anything. However, the style is fairly fast and winds quite a bit. The deeper weaving shapes that they do going down the straight and incredibly fast toe spins require wheels with grip.  For that reason, they don't usually go past urethane wheels.

⦿ Bones teams ⦿ Radar Riva ⦿ Sure Grip Fame

Pivots, pivots, and [more] pivots define NY/NJ-house style skating.

Boots are a little stiff to accommodate all of the internal forces back and forth.  Plates can be NTS and are mounted short style for agility.  The ideal wheel tends to be vintage vanathane, which offer enough grip for pivots and slip to slide the entire wheelbase during 3-turns. The older generation tends to gravitate toward Riedell 275 boots on plates with no toe stop (NTS).  

⦿ [Orange] Vintage Vanathane Rental wheels ⦿ All American Plus ⦿ All American Dream ⦿ SG Velvet

Being in and out of control at all times is the essence of sliding styles. 

Boots can be almost anything that directly responds to the skaters input. Plates can be short mounted but must be able to accommodate the wheel.  The ideal wheel can be anything from FoMac, Wood, or Fiberglass.  Fibers are the offer the most freedom and can be custom-made by artisans, so they are the most celebrated and highly recommended.

⦿ 32-38mm Fiberglass ⦿ FoMac Minimac ⦿ FoMac Premier ⦿ Forever Fiber ⦿ Maple Sliders

Control and predictibility are important for park skating. You want to use harder, smaller wheels in order to go faster and carve bowls easier. Rolling curved surfaces benifit from rounded lips on wheels.

Hard wheels leave minimal impact absorption; skates with counters  can take the edge off of things like flips on tall ramps. The heel height doesn't matter much, cork would be best for material though it doesn't do well outside depending on your weather. The plate is more for stability in park skating and cushions more so help with feeling edges more than absorption for these types of impacts.

⦿ Bones Bowl Bombers ⦿