i am not into war & medical genre and dont like heavy dramas much. so here are some dramas from manga adaptations;
GTO- shounen- ex-delinquent becomes school teacher
Gakusen- shoujo- mafia heiress becomes school teacher, school fight
Hana kimi- shoujo- gender bender- romcom- original version of to the beautiful you
Hana yori dango- shoujo- original version of boys over flowers
Hataraki man- seinen- romcom- business
Holyland- seinen- psychological- street fighter
Hotaru no hikari- josei- older version of switch girl characters
Ikemen desu ne- gender bender- remake of you're beautiful, not manga
Kimi wa petto- josei- career woman gets a cute boy as her pet
Koizora- shoujo- heavy drama, school
Mei-chan no shitsuji- shoujo- girl gets a butler at a special boarding school
Nobunaga concerto- seinen- time travel- follows real history
Drop- shounen- bromance- delinquents
Rich man poor woman- romcom- business, not manga
Saba doru- romcom- aged woman acts as a teen idol, later manga
Switch girl!!- shoujo- girl wearing a perfect character mask outside, at home she is extremely opposite.
Yamato nadeshiko shichi henge- shoujo- weird scary girl moves in with 4 eye candy boys
Yankee-kun to megane-chan- shounen- school, female ex-delinquent meets her male version
Zettai kareshi- shoujo- career woman gets a robot as boyfriend
High school debut- shoujo- baseball maniac muscle girl tries to change herself into a fashionable cute girl to get a bf
also some movies from mangas;
Crows Zero- shounen- delinquents, school fight
Kaiji- seinen- gambling
Space Brothers- seinen- unemployed engineer man following his dream of being an astronaut
Rurouni Kenshin- seinen- sword fight
Heroine disqualified- shoujo- romcom, school
Dance Subaru- shoujo- girl following her dream of being a ballet dancer
i did not include the ones i dropped & on my ptw (except for kenshin, it seems as a must) and tried to recommend the ones not on any of your lists.