What are the territories given on lease (or any other way) by some country to other country currently? Is there such map?
There seems to be only two, if you ignore purely ceremonial leases such as the "JFK Memorial in Runnymead".
Khmeimim Air Base in Syria is leased to the Russian government for a period of 49 years from 2015 to 2064
Guantanamo Bay Base is leased "in perpetuity" by the USA from Cuba.
Both are military facilities with no civilian government.