Rappeler can be used with or without "de". The two versions, according to my understanding, would be:
Je me rappelle des Îles Cyclades.
Je me rappelle les Îles Cyclades.
Yes, you can use rappeler with or without "de". But in the example you cite you would still need the article "les".
Vous vous rappelez les Îles Cyclades.
-- Chris (not a native speaker).
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