Hundreds gathered to see Sir Anthony play a leading role in his next film, A Visit To Grandpa's.
Flood alerts and travel disruption ease but a yellow weather warning is in place for Wednesday.
A machine which dispenses urgent prescription medicines to patients is described as a European first.
Catering and retail facilities are axed at three visitor sites as part of restructure to save £12m.
Changes to the scheme, which included 10% tree cover on all Welsh farms, have been made.
Hundreds protest at Coed y Brenin to oppose plans to close parts of the visitor centre.
Coed y Brenin, in Gwynedd, plus Bwlch Nant yr Arian and Ynyslas, in Ceredigion, could be closed.
"We are truly heartbroken that our beloved Mam has been taken from us too soon," say her family.
Staff received an email explaining three visitor centres will close if the changes go ahead.
