Recommendations

Both are about a Military officer and Doctor falling in love. Similar to DOTS he also has friends to make the show a little more comedic. However this drama leans towards a regular lakorn watcher.

(From my recommendation for Hanadan Season 1)
The male lead is a cold rich guy who finds himself drawn to a poor girl who doesn't want anything from him. He tries to give her things that other girls would swoon over and when she declines the gifts he is left confused and even more interested in her than before.

Oh and his family disapproves and he ignores them. Also the girl, despite being skittish and a bit strange seems to be well liked by those who get to know her or watch her closely.

(Now how specifics about similarities to Hanadan 2)

The male lead loses his memory starting from the time he met the female lead due to an accident. His family tries to keep him from hearing about the girl and interacting with her but so far that's not working out well (I haven't finished the series yet). Oh and it is revealed that someone very close the the guy betrayed him and from that he has to overcome deep scars.

The male lead is a cold rich guy who finds himself drawn to a poor girl who doesn't want anything from him. He tries to give her things that other girls would swoon over and when she declines the gifts he is left confused and even more interested in her than before.

Oh and his family disapproves and he ignores them. Also the girl, despite being skittish and a bit strange seems to be well liked by those who get to know her or watch her closely.

There are more similarities but they are in Hanadan season 2.

It also revolves around the shogunate. It's more detailed about what was going on in Japan politically at the time but it also gives you a breathtaking peek into life in the Shogun's harem.

Both are Great Romantic comedies with a little more than a hint of supernatural.
Both have leading male characters that are Famous/Rich and calculating/rational types. Due to a trauma in their youth, both have trust issues and push people away before they get attached.
Both have wacky female leads who have supernatural reasons to stay by the leading man's side long enough for him to fall for her.

They have the same atmosphere(80s/90s vibe), and feel somewhat similar, the biggest difference is that in reply 1994 the isn't any time travel.

The Royal Gambler is about King Yeongjo's early life and his succession to the throne and The Throne has the events that came later in his life.

The male leads are similar in that they both kick ass (in a, according to them, moral way - i,e, no killing), fall for a girl (payed by the same actress might I add) and then end up spending like half the drama protecting her.

The Korean version of the manga 'Itazura na kiss' that came out in 2010

Both of these wuxia dramas have a main male character with stigmatized powers and familial ties that place them in difficult situations. Both leads are raised by merciful strangers who gently refuse to teach them special fighting abilities. Due to tumultuous times and unforseen circumstances these leads must master their inherited powers and defeat the evil hordes.

It's not quite related to the plot or characters personalities but while watching "Again miss Oh" I got the same feeling as I watched "Discovery of romance". Both dramas have interesting characters that you can't really hate. Also, both are good rom-comedies with lots of emotions filled with love, anger, hate and regrets. Both are more mature than usual kdramas. And, also, Eric are leading guy in both dramas!

Both are hilarious and have wonderful plots. In both the dramas the female lead hides her real identity and becomes a maid. only thing is in DRRT the female lead pretends to be a boy. Both are enjoyable and you will definitely like it!!

only one thing that I found common was that both the female leads are shy and bad at expressing their feelings. in the start of the series it is shown that female leads were ignored and lived quietly. Then there comes the famous male lead (in FBND he is popular game designer and in TGH he is a superstar) who changes their life. there is a love triangle and many comedic events so you will enjoy both.
Other than that one is Korean and the other is Taiwanese plus TGH has a school setting. But both are enjoyable.