Kapalabhati breathing: Stimulates movement of prana at the base of your spine, very dynamic and charges your whole body.
Bhastrika is the next level of kapalbhati where it forces the air out. Very forceful, gets your energy up quickly so it moves fast. Be cautious of this technique.
Some benefits are that it cleanses the respiratory system, warms the body, invigorating to the system, wakes you up, builds energy, strengthens your diaphragm, invigorates brain, helps sinus issues and makes your lungs more elastic.
An example of Kapalabhati Pranayma:
Viloma Breath means against the grain or natural order of things. It is a 3 part breath - base of the lungs, then mid lungs, then top of lungs. Used with kumbhaka or pauses in between each part of the breath, then exhaling regularly.
The benefits of this breath is that is strengthens the lungs and allows maximum expansion of the chest, calms the mind, helps concentration.
More about Viloma Pranayama (with a video) can be found here.