Watching My journey to you made me want to watch more dramas with brothers as main characters, possibly historical drama and with no much romance (if there is no romance at all even better). Dramas with a good friendship between the male characters are ok too.

These are historicals with brothers as an important part of the plot. Most of these do have romance, though:

Also these aren't historical but focus a lot on brothers:

Brothers:

 -as the main charcters and  relationship:

Handsome Siblings ( balanced adventure and romances that are not to be taken to seriously)

The Royal Gambler  (very slight romance)

The Nokdu Flower (slight romances on the side)

Triangle (not historical)

- as ML and SML or other important character:

Moon Lovers: Scarlet Heart Ryeo (ML and multiple brothers, mainly romance though)

Iljimae (some  romance and love triangle)

Rebel: Thief Who Stole the People (with strong romance  line but good balance with other relationships and plot)

The Promise of Chang’an (mainly romance and politics though)

Rookie Historian Goo Hae Ryung (mainly romance though)

Moon Embracing the Sun ( mainly romance though)

Cousins  being  close like brothers:

The King in Love (this is sort of equally romance and bromance)

Royal Nirvana 

Foster or adoptive  brothers or close friends growing up together:

Warrior Baek Dong Soo 

Go Ahead  (not historical)