Striker,
Well said,
The Europeans had a lot of excellent missile boats that were extremely capable, back in the day, at the height of the Cold War, e.g. those made by the Danes, Swedes, West Germans, Norwegians, and others.
They are mainly gone.
Only FACS/small corvettes in European service still in service are:
Bulgaria – 1 x obsolete Tarantul equipped with even more obsolete P15/20 Termit.
Croatia – 5 x ageing FACS with obsolete missiles that will go out of service in 2024 and no replacement in sight. 2 of these ships are non-operational due to engine issues and 2 others are used as glorified patrol boats due to lack of suitable vessels.
Finland – 8 x Raum/Hamina class FACS. Some of the newest ones in service (Hamina date to early 2000s) All Raum to be replaced by 4 3900 ton frigates (a questionable decision given Finland's coast line, these ships are more for international missions).
Greece – 20 vessels. Mix of ancient La Combattante from 1970s/early 1980s and modern Roussen class which are still being built.
Poland – 3 x Orkan class (given the dubious state of 2 Oliver Hazard Perry frigates and the fact that 2 other corvettes haven't got any missiles installed, these ships might end up being Poland's only ships capable of anti-surface action).
Portugal – questionable – they brought 4 ex-Danish Flyvefisken as Tejo class but I don't know if they retained the RGM-84 Harpoon capability (pictures show them without any fittings).
Romania – 3 x obsolete Soviet Tarantuls equipped with even more obsolete P15/20 Termit.
Sweden – 7 vessels including 5 x Visby stealth corvettes. Visby's pack a big punch (8 x AShM) but lack air defences which were cancelled as budget measure.
Turkey – 19 FACS/light corvette. 9 are modern Kilic class, remaining are primarily ageing vessels with very limited capability.
Lithuania also brought 4 ex-Danish Flyvefisken but these appear to be being used in an exclusive patrol boat function without AShMs.
European Navies are all going for small numbers of large ships primarily designed for international missions (like the Finnish example I gave above).
they'd be great for patrolling in the South China Sea too
Not really good for patrol work as they often have extremely thirsty engines, lack sensors and lack range/endurance.
FACMs are the ultimate bushwhackers – zip out of cover of islands/land, fire some missiles, and then zip into cover. Reload, rinse, repeat.
For just patrolling SC Sea you can just do what the Chinese (and Europeans do) and acquire patrol boats built to civilian standards.