Comets are often classified by their orbits, individual
classes having similar orbital periods, or aphelia and/or perihelia.
An overall classification is between short-period comets
(aka periodic comets) versus long-period comets,
based upon whether their perihelia are less or greater than 200
years. Some subgroups of short-period comets:
Halley-type comet - orbital period between 20 and 200 years.
Jupiter-family comet - orbital period less than 20 years, with an orbital plane relatively close to the ecliptic (within 30°).
main belt comet - orbiting within the main asteroid belt, but showing comet characteristics.
Encke-type comet - with an aphelion of less than 4 AU.
Some subgroups of long-period comets:
near-parabolic comet - eccentricity slightly less than 1, generally, a period of 1000 years or greater.
Sungrazing comets are those that come very close to the Sun
(irrespective of their orbital periods).
Some subgroups of sungrazing comets:
Kreutzer sungrazer comets (perihelion on the order of 0.005 AU, and an orbital period around 750 years, and orbital inclination of 144 degrees, i.e., retrograde).
Meyer sungrazer comets (0.035 AU, a decade, 72° ).
Marsden sungrazer comets (0.044 AU, 5.6 years, 13° ).
Kracht sungrazer comets (0.049 AU, 3-4 years, 26° ).