There are 83 active vessels in the RN today..... Shortly to lose 5 (1 CVS and 4 T22).
If you include HMS Bristol, HMS Victory and HMS Caroline (All still active although not sea worthy) then that would come to a total of 86 going down to 81. That list doesn't include 131 landing craft.
That list doesn't include 22 RFA vessels (Owned and operated by the MOD as a maritime component)