Both dramas are very similar in the regards to the story. Both female leads end up in an alternative world, where they meet people, who they know in the real world, but now with different identities and lives. Both female leads suffer from a sort of "amnesia". Both investigate a case, that is the reason for their situation. Both dramas revolve around a romantic interest, that is connected to them in the real world.
The biggest difference is that Shards of Her is a more traumatic drama, whereas Lost Romance has a more lighter take on it.
The biggest difference is that Shards of Her is a more traumatic drama, whereas Lost Romance has a more lighter take on it.