Intense Chinese Medieval Romantic Dramas

• The Princess Wei Young - Meets all your criteria but is a little bit lacking in terms of skinship. The passion is mainly shown through acts of devotion, and there are plenty of those.
• Sound of the Desert - I'm not sure exactly what you mean by a Fast Relationship Moment and if this drama meets that criteria. The ML and SML both fall for the FL at first sight and fall deeper in love with her quickly after that. Both men are devoted to her and she takes big relationship steps well before the end but you'll need to have a bit of patience to see who she ends up with. There are lots of "intense romantic, flirty, passionate scenes". 
• The Eternal Love and The Eternal Love 2 - The ML takes a few episodes to fall for the FL but after that he meets all of your criteria. On point 3, there's a moment where he thinks that she faked her feelings for him and has been working with his brother and rival the whole time and gives the FL the cold shoulder as a result, but then he turns around and risks his life to help her almost immediately. In season 2 the ML is already head over heels from the beginning.
• The Legends - The ML falls for the FL right away, but you don't get to see their relationship progress for a few episodes. However, flashbacks shown later in the drama show that there was at least one passionate scene between them in the timeline covered by the early episodes. I would also note that although the ML is more powerful than the FL at some points in the drama, he's so head over heels for her that he's pretty much never dominant towards her. The FL is generally the one who initiates things and the ML generally defers to her direction on everything.
• Arsenal Military Academy - Meets all your criteria, but the characters are students in a military academy so the skinship is toned down a bit. The ML and FL are played by the same actors who played the leads in the Legends because their chemistry was so good.
• Dreaming Back to the Qing Dynasty - Meets all your criteria, although I'd note that the ML is very respectful of the FL and not particularly dominant / domineering towards her.

Lost love in times- same lead as sound of the desert. Flirty moments. lots of kisses

Love and Destiny - 

Legend of Fuyao- lots of flirting, male lead falls first, kisses 

Legend of Lu Zhen- not so much kissing but really nice love story. 

Ashes of love- flirting, kissing, romance. Male falls crazy in love first 

 Ine Ya:

@Gatcha, Thank you for the recommendations.  I had heard about Lost love in times and Legend of Fuyao but hadn't tried, now I will.  Ashes of love I had started but in 2 eps I didn't feel the story interesting.  You think I should keep continuing, it will be worthwhile?

Yes you should. It’s worth the watch. 

 Ine Ya:

@Gatcha, Thank you for the recommendations.  I had heard about Lost love in times and Legend of Fuyao but hadn't tried, now I will.  Ashes of love I had started but in 2 eps I didn't feel the story interesting.  You think I should keep continuing, it will be worthwhile?

I also wasn't into that drama from the beginning, but kept watching because it was popular so I thought it might get better. I ended up dropping it after 31 episodes.