Actually,these days folks like Germany,Holland,Spain,Italy among other designate ships aboyve 5,000 tonnes s frigates,though they are as capable as most destroyers.
These days,the smallest multi-role ships(upto 2,500 tonnes) are corvettes.Russia,Germany,Holland among others build & export such vessels.
I had forgotten about the corvettes. With destroyers continually growing in size, the corvette is filling the role.