Doom at Your Service- If you're looking for a fantasy/magical element like MRIAG, then I'd recommend this one.
I too really liked the 2ML in MRIAG, so here are a few dramas that might have some similarities to him...
The Princess and the Werewolf- If you're up for historical, then I'd give this one a go. The ML here reminds me of the 2ML MRIAG, in the fact that he falls quickly, and tries to get the FL to fall for him. There are multiple side couples in here that you might enjoy too.
The Romance of Hua Rong- Another historical one. But the ML chases her relentlessly here. Tryingggg to get her to fall for him. He's a silly character and never gives up despite all the rejections.
Professional Single- You might like this one based on the 2ML in this drama. He never gives up and keeps trying to get the girl. I personally got 2ML syndrome here, he was cute, silly, etc.
King the Land- A childish ML who is relentless in trying to get the FL to fall for him. I found him quite silly and cute.
Assistant of Superstar- Probably the most childish ML I've ever seen in a drama. lol. But it was so cute how fast he fell for the FL, and how often he tried to get her to like him. So if you were looking for someone who's silly, and never gives up while trying to chase the FL... this is your man.
Moonlight- The ML is pretty much the exact same as. the ML in "Assistant of Superstar." So if you end up watching and liking that one, I recommend this one because it's very similar.
Shooting Stars- Cocky ML, that kind of reminded me of the 2nd ML in MRIAG. This is another drama where he falls first, and tries to get her to like him, doesn't give up, etc.
There are probably a bunch more dramas that I can name where the ML or 2ML doesn't give up in their pursuit of the FL, and kind of resembles the 2ML in MRIAG. But I'll end it here so the list isn't to terribly long. Good luck with your findings!