I'm having a hard time finding a definitive number of vessels sunk.

The British Royal Navy:

The Battlecruisers HMS Queen Mary, Indefatigable, and Invincible

The Armored Cruisers HMS Warrior, Defence, and Black Prince

The Destroyers Tipperary, Ardent, Fortune, Shark, Turbulent, Sparrowhawk, Nomad, and Nestor

The German Empire's High Seas Fleet:

The Battlecruiser SMS Lutzow

The Battleship (pre-dreadnought) SMS Pommern

The Light Cruisers SMS Frauenlob, Elbing, Rostock, and Wiesbaden

the Destroyers SMS V48, S35, V27, V4, and V29

Attested to by numerous sources, for ease of access the Wikipedia article

Also, how many still rest at the bottom? Have any been risen?

All ships lost at Jutland remain somewhere at the bottom. They all have varying degrees of evidence pointing towards commercial salvaging, some have been untouched, and some seem to have lost a lot to private divers.

As far as I'm aware, all British ships have been found, having been added to a 1986 Protection of Military Remains act in 2006. German ships...I'm not entirely sure if they have all been found. As far as my information has told me, the Pommern, Lutzow, Frauenlob, and Wiesbaden have definitely been identified. The other cruisers, and the destroyers, I'm not sure at all if we know where they are.