Yes, but they aren't that common* , especially in very large installation pretty much since the 60's and 70's most nuclear reactors that were build were light water fast reactors.
The advantages of breeders started to fade away when the cost of enrichment dropped significantly and when new stockpiles of Uranium were found, after the fall of the USSR when Russia became an exporter of Uranium it made them pretty much non-viable.
They are still used to create medical and research isotopes, and Plutonium for either weapons or for nuclear batteries.
Today there are 2 maybe 3 actual breeder reactors that are used for commercial power production.
Most next-gen reactor design are breeders, or breed-capable (you can alternate between power-production and fuel breeding cycles) but none of them were built as of yet.
*Pretty much all reactors are create new fissile material even in normal fission Plutonium is created in the fuel rods and about 30% of the thermal energy produced by a power producing reactor comes from PU decay and fission.
But breeder reactors are ones that designed to breed fissile material from fertile material (reactor based enrichment) so they create more fuel than what they consume but they can't really be used to produce power at that time. Some reactors combine the 2 and they'll have a power producing phase and a breeding phase usually they'll have several cores and move the fuel around to either breed or burn it.
*Pretty much all reactors are create new fissile material even in normal fission Plutonium is created in the fuel rods and about 30% of the thermal energy produced by a power producing reactor comes from PU decay and fission. But breeder reactors are ones that designed to breed fissile material from fertile material (reactor based enrichment) so they create more fuel than what they consume but they can't really be used to produce power at that time. Some reactors combine the 2 and they'll have a power producing phase and a breeding phase usually they'll have several cores and move the fuel around to either breed or burn it.