Both have the same trope. The vibes of the dramas are different, but the background of the characters is similar in both stories.

While Angel's Last Mission: Love has less fantasy elements than A Korean Odyssey, it does have a very similar atmosphere. Both have many romantic elements and in some ways a similar romantic plot.

Both dramas have the same trope and a similar vibe. One feels a bit more 'adult' than the other, but I don't think that it's a noticeable difference. Overall, both are great dramas with great characters.