The wide variety of arrow points includes: 

Broadhead points
Use broadhead points for big game. These points generally have interchangeable blades in a fixed position, though a newer type of broadhead points open only on impact.

Field points
Use field points for target practice and small game hunting.

Judo points
Judo points are used mostly in grassy areas for small game.

Blunt points
Use blunt points for small game; they are made of metal or rubber.

Fishing points
Use fishing points for bow fishing; they feature barbs to hold the fish to the arrow.

Bullet points
Use bullet points for target practice.

Safety first! Always use a broadhead wrench when adding or removing a broadhead point. Careful, the points are very sharp.