At the time being, I don't have any info on anchorages
sorry simply because we have no experience,yet! What I can tell you is that there's a private marina located at Pignataro, Lipari
(only 2,5 km from the port of Lipari). Private piers are located in between and I am Learning
from Jerry who works on the Island, that prices are from Euro 130,00 per day during in august (high season).
It seems that a high ranked sicilian restaurant at Lipari
is "La Pulera", located just around the block of Lipari. "Filippino" on top of the monastery, is indeed popular. Prices are medium high.
Pasticceria "Subba" on the main Avenue at Lipari is the best you can get. Try the granita and gelato.