Naughty Princess (2015)

time-travel
unruly princess
romantically involve with a prince

The plot and the main characters are quite similar. However, not completely the same. Also about a prince marrying a wife but in this story, the female protagonist is already the princess but with Naughty Princess they have to overcome some obstacles. Also about the female protagonist time travelling from the modern world to the past. This story also talks about 3 princes with the eldest and the second eldest fighting against each other for the throne with the 3rd prince being on the same boat as the second prince.

Girl from the twenty-first century time travels back to ancient china. Becomes romantically involved with the royal prince.

My Bratty Princess doesn't have the time travel, but gives the same sort of feel and has the unruly princess.

Same plot...girl time travels to past. An amazing drama with amazing cast

Girl travels back in time...and influences the past with her modern views..SSL is only two EPs but still it's worth it.

Time travel with a film star assistant and a few others falling back in time. The assistant falls on top of a prince that brings the strangely dressed female home.