Both GL centric but Transit Girls has more of an apparent romance between the two main characters and episodes are longer than Lily Fever.
Miss Granny is a movie and not a drama but both share the same actors Park In Hwan and Na Moon Hee as the old married couple. This is also a story of an elderly individual who wishes to realize a dream of theirs that became lost to time because of life's obstacles. Miss Granny portrays an elderly woman and shares her story of her life, her goals, and her dreams as she gets a second chance at youth. Both are heart-warming and bittersweet stories of life, the fruits we bear from it and the burden it can sometimes become, aging as grow older and how we deal with it when it becomes obvious but Miss Granny carries much more comedic elements in it where as Navillera is more poignant with a sprinkle of uplifting positivity. Both are great stories that touch and move the soul in their own way.
Both female leads are sent back in time. Although there are huge plot difference between the two dramas, they share a similar sense of direction. They both start very light-heartedly and joyful only to go down a much deeper path with an emotional twist. However, the time travel aspect is a heavier story element in Faith than it is in Moon Lovers, but still, Moon Lovers is pretty entertaining without having to surround its' plot around time travelling.
Both involve North and South Korea in conflict. Although there's no monarchy setting, it's very similar that involves melodramatic moments and a deep set conspiracy-kind of theme.