The UK hosts over 24,000 insect species—too many for a complete list, but here are the major groups you'll encounter, with representative examples:
Ground beetles (Carabidae), rove beetles (Staphylinidae), ladybirds (Coccinellidae—46 spp.), weevils (Curculionidae), longhorns (Cerambycidae), glow-worms (Lampyridae), click beetles (Elateridae).
Aphids, shieldbugs, froghoppers, pondskaters (Gerridae), water boatmen (Corixidae), backswimmers (Notonectidae), bed bugs (Cimicidae).
Houseflies, bluebottles, hoverflies (Syrphidae—280 spp., key pollinators), crane flies, midges, mosquitoes, horseflies.
Honeybee (1 sp.), bumblebees (24 spp.), solitary bees (~250 spp.), social wasps (9 spp.), hornets, ants (50+ spp. including wood ants, yellow meadow ants).
Butterflies: 59 resident species (Red Admiral, Peacock, Small Tortoiseshell, Painted Lady, Brimstone, whites).
Moths: 2,500+ species (Hawk-moths, Tiger moths, Peppered Moth, Ghost Moth).
Emperor Dragonfly, Southern/Brown Hawkers, Common Darter, Banded Demoiselle, Large Red Damselfly, Azure Damselfly.
Grasshoppers (Field, Meadow), crickets (Field, House), bush-crickets, groundhoppers, earwigs.
Habitat loss, pesticides, climate change, and light pollution threaten many UK insects. Recording sightings helps conservation.