Both are light historical dramas of identical short length. Both FLs are doctors/have medical skills, and both MLs have personality "quirks" (poisoned so they act childlike or two different personalities and memory loss). The FLs try to cure the MLs, the two soon fall in love and live together. Both dramas have a similar feel/tone.
Poisoned ML with a "uniqueness" regarding the FL (in Meet You she can fix him, in MFMR his blood causes her transformation). Both couples meet and end up in a relationship very quickly then a bit later truly fall in love and are devoted to each other. Both are shorter, light, and mostly fluffy romances.