.name has been doing this for 25 years so I guess you must've missed them right when you got started!

For .uk, this scheme was the default until 2014 (a long time, considering it's first use was in 1985). Everything was .co.uk or .org.uk and you bought those directly with registrars. Then, in 2014, .uk registrations were allowed, and the .co.uk and .uk domains now coexist.