The UK's 'Historic England' is funded by the Department for Digital, Culture, Media and Sport.
One of its functions is to list and protect 'important' examples from more than 5000 known shipwrecks off the English coast. So far, dozens have been listed as 'Protected Wreck Sites'.
As an example, two new ones were added in early 2021. Here is a press release about the two wrecks, called GAD23 and WA08. They are estimated to to be from the mid-19th century.
Neither of the two ships has been identified.
Worldwide, there are huge numbers of known shipwreck sites which feature unidentified ships. There are also countless numbers of records of ships which have disappeared without trace.