The Painter of the Wind - they start off as disciple and master and only after a long, beautiful friendship, they start to feel more than that
Remember – War of the Son - this not focuses much on the romance, but there's some beautiful friendship going on between the main leads and only later, they become closer
The Memorandum of Kyoko Okitegami - well, there's definitely something going on here :P
Satorare - at first, they were patient and doctor, but only in the end we get to see how much they mean to each other
God's Quiz - I watched this a long time ago, but I remember that something was going on between the main the leads
Good Doctor - well, the main leads start off as colleagues, then friends and only after a good while they go further than that
The Plan Man (movie) - there was some sweet friendly vibes in this one ^^
Flowers for Algernon - this also presents the relationship between a doctor and her patient, and the male starts to develop some feelings for the girl, but I don't know how it ended cause I still haven't watched the last episodes ><
Kekkon Dekinai Otoko - the male lead is not very friendly or talkative, but he still manages to befriend two females and they are all like really good friends, but again, I don't know how it ends
Gakkou no Kaidan
Himitsu no Kankei - Sensei wa Doukyonin
Umi no Ue no Shinryoujo