They are both quite humorous, though Let's shake it is more over the top (not complaining though ;) Both are historical with a magical/fantastical twist. In general they have a very similar feel.
Very similar kind of slapstick, broad humour used for both of these dramas. LSI has a lot more serious scenes and concepts to the story, but the zany, irrelevant humour is very similar.
It's not similar but such a good drama. It'll make you laugh, cry, fall in love all over again, and the drama just brings life and spirit to its viewers. It's a unique drama. LOVE IT!!!????
Both dramas are about a relationship between an alien stuck on earth and a human who comes to learn their secret identity. Both start funny then become more serious.
Both are light and zany dramas with a non-human lead who arrives in the past and becomes involved with a human. Both involve cat/human shapeshifters and have a similar tone/vibe.
Both are light and quirky dramas in which a FL from a technologically advanced society (far future vs. alien world) arrives in ancient China and ends up living with the human ML. Both have a CGI cat who shifts into a human and a very similar feel.