There is no equivalent to Ellis Island records for the UK,
unfortunately. The UK National Archives holds records for incoming
aliens, which the government required only during two short periods of
time (1810-11 & 1828-1869), and these are available on Ancestry. Ships
coming >from Europe were even exempt >from this, though I've been lucky
enough to find Europeans I was interested in, who had boarded a vessel
from further afield. Ancestry has also collected and indexed a number ofincoming passenger lists up to 1960.
I've found someone arriving >from USA in 1910. It is, of course, a
subscription site. Otherwise, the only tedious option is to browse the
local press at a port, which invariably posted the names of arriving ships,
though not always the name of the passengers.
St Albans, UK