In the UK there are 4 main types of bee. These are:
The Honey Bee (Apis mellifera)
Honey bees are a subset of bees in the genus Apis, primarily distinguished by the production and storage of honey and the construction of perennial, colonial nests out of wax. Honey bees are the only extant members of the tribe Apini, all in the genus Apis. Currently, there are only seven recognized species of honey bee with a total of 44 subspecies (Engel, 1999) though historically, anywhere from six to eleven species have been recognized. Honey bees represent only a small fraction of the approximately 20,000 known species of bees. Some other types of related bees produce and store honey, but only members of the genus Apis are true honey bees.
The Bumble Bee (Bombus lapidarious)
A bumblebee (also known as a bumble bee) is any member of the bee genus Bombus, in the family Apidae. There are over 250 known species, existing primarily in the Northern Hemisphere although they are common in New Zealand and Tasmania. Bumblebees are social insects that are characterized by black and yellow body hairs, often in bands. However, some species have orange or red on their bodies, or may be entirely black.[1] Another obvious (but not unique) characteristic is the soft nature of the hair (long, branched setae), called pile, that covers their entire body, making them appear and feel fuzzy. They are best distinguished from similarly large, fuzzy bees by the form of the female hind leg, which is modified to form a corbicula: a shiny concave surface that is bare, but surrounded by a fringe of hairs used to transport pollen (in similar bees, the hind leg is completely hairy, and pollen grains are wedged into the hairs for transport).
The Masonry Bee (Osmia rufa)
Mason bee is a common name for species of bees in the genus Osmia, of the family Megachilidae. They are named from their habit of making compartments of mud in their nests, which are made in hollow reeds or holes in wood made by wood boring insects. Species of the genus include the orchard mason bee, Osmia lignaria, the blueberry bee, O. ribifloris, and the hornfaced bee, O. cornifrons. The former two are native to the Americas and the latter to Japan, although O. lignaria and O. cornifrons have been moved from their native ranges for commercial purposes. The Red mason bee, Osmia rufa, is found across the European continent.
The Mining Bee (Andrena sp)
The tawny mining bee, Andrena fulva, is a European species of the sand bee (Andrena) genus. The males are 10–12 mm (0.4–0.5 in) and the females 8–10 mm (0.3–0.4 in) long. It is covered with hair: fox-red on its back and black on its underside. The tawny mining bee lives in Central Europe, ranging from the Balkans to southern Scandinavia. It lives in light woodlands and dry grasslands, and also in parks and gardens. It is widely distributed but has a low population density. The Tawny mining bee flies from March until May. It prefers to fly in a multitude to different nectar-bearing plants. It lives in a nest in the ground, and occasionally in larger colonies.
All info taken from Wikipedia

