With both.

Continuous plot for sure. There are episodic series which I really like (Detective Conan, Sailor Moon, Ranma ½) but I go through periods of liking them and not. Sometimes events are interesting but the quality varies with episodic plots because often they are trying to drag it out for longer. After becoming invested in the storyline at the beginning I end up impatient for something to finally happen.

A good continuous plot catches the attention and holds onto it. They are the manga that really leave me excited for the next chapter and rushing back home to read more. Even in Detective Conan, when the story moves forward I've almost forgotten previous developments. This is also why I like Sailor Moon manga much more than the anime despite its beautiful backgrounds and clothing. I do still read a lot of trashy and vapid manga, though.

I did read a few episodic ones but definitely prefer continuous...

Clear, continuous plot for me. I enjoy episodic manga, but they end up going on too long and it's easy to get tired of them if they don't keep it fresh.

A nice middle is episodic with a continuous underlying plot so it feels like we're advancing toward some resolution.

continuous plot
but not continuous arcs by romantic interest 'of the week' that have no shot with MC

Episodic. I think it's harder to execute well (or at least in a way that I personally enjoy it), but I love the concept of exploring a new thought or character every chapter.

Def continuous here. Even the episodic manga i like (for example https://www.mangaupdates.com/series/ybezj1c/boku-ga-shinu-dake-no-hyakumonogatari) have an overarching plot that usually i'm more compelled to than the actual story of the week element.
I feel like episodic-style media in general makes it hard to be invested in the characters and plot when i know the plot will be completely washed away and the characters recycled. Like, just watch a movie at that point.

I'd rather not have "clear" in continuous plot, but it's the closest. I enjoy the ones that seem episodic but eventually reveal a larger plot. Or ones that meander into a larger plot.

Voynich Hotel, Gintama and Shadow of Israphel all come to mind. Uh, that last one wasn't a manga.

When I was young with less than 100 series read under my belt, it was continuous because my baby brain felt like episodic stuffs was "filler" and detracting of the "main story".

Now I'm old and I am beginning to appreciate more the craft required to create punchy gags with very small amounts of pages.

But I still voted for continuous. The best is actually the best of both worlds.

In the end, it really depends on the work itself, I now find a lot of continuous stories subpar due to how predictable they are and recycle past stories, and newer series that are episodic feel much more refreshing because they have more liberty in exploring new ideas.