Love Destiny

Both main characters travel back in time (though to vastly different time periods) and fall in love with someone of that era.

The main lead of both these drama's are doctor and time travelled to the past to solve some unfinished wishes .

Both main lead's time travelled to past and find their true love.They both went back nearly four hundred years to the Ayutthaya Kingdom. We might able to see the Ayutthaya culture in those dramas.

In both shows, the main leads travel back in time and find themselves falling in love with the second male lead.

It's a historical romance, although not a time-travel one.
The show has just started airing, but similarities include political intrigue, class differences, and the historical setting.