Since Filipino dramas and movies are now availible on MyDramaList, I want to give it a try but I know nothing about it, does someone has good advices? 

It's still hard to recommend the "best" ones now in terms of dramas and movies since most of them are not yet available on the database (especially the dramas) but for movies, here are few suggestions:

Romance / Comedy

-Kita, Kita (2017)

-Meet Me In St. Gallen (2018)

-That Thing Called Tadhana (2015)

-Starting Over Again (2014)

-A Very Special Love (2008)

-One More Chance (2007)

-Labs Kita, Okey Ka Lang (1998)

-She's Dating the Gangster (2014)

Historical

-Heneral Luna (2015)

All of these are very popular and cult-favorites, most of which I'd say are quite beginner-friendly and great introduction to Filipino films, in general. Enjoy watching! :)

Dramas:

On the wings of love-2015

Forevermore-2015

Pangako Sayo-2015

Movie: 

All about her- 2015

I got to admit that I haven't watched a lot but those are good!! 

I'd go with:

Kita Kita

Die Beautiful

the original Pangako Sayo (Not the remake)

English Only, Please

Walang Forever

Crazy Beautiful You is also good, its already listed here in MDL.

For me, the best romance movies are, though I think the movies in the 90's doesn't have subs (sadly):

  • Dahil Mahal na Mahal Kita / Because I Love You So (1998)
  •  One More Chance (2007)
  • Sana Maulit Muli / I Wish it Happens Again (1995)
  • Kailangan Kita / I Need You (2002)
  • A Very Special Love (2008)
  • #WalangForever / #There'sNoForever (2015) 
  • Got 2 Believe (2002)
  • Labs Kita Okey Ka Lang? / Love Yah, You Okay? (1998)
  • Baby Love (1995)
  • Let the Love Begin (2005)