I'd like to see some where the 2 leads are already married or they can get married early on, but I want the bulk of it to deal with them being married.

It would be nice if the couple hasn't been married long, but it's not requirement.

It would be nice if there's some drama in their relationship maybe caused by outside influence. Somebody else trying to get with one of them, and that causes problems. Though they still stay together.

I figure there would probably be more manga with this kind of story than anime.

Hapi Mari
Faster than a Kiss

Are probably the obvious ones that come to mind.

Read them both. XD

If you have any more, please post. Also if you can find some that aren't shoujo, I'd appreciate it.

Akkan Baby
Love Lucky
Outlanders
Zettai Heiwa Daisakusen

Just a few I've read and finished... Enjoy

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This is my Sig ..............................................................

There was a semi-recent thread about this. I don't think I have any more recs to add on to what I already wrote in that one, so.

There's also a "Married Couple" category in case you didn't know.

A Demotion Isn't That Bad fits this exactly.

Mademoiselle Butterfly is close-ish,

Love So Life is all the fun of marriage without them closing the dang deal =_=

Mahou Tsukai no Yome kind of fits but it is weird and unromantic.

Itazura na Kiss (It Started with a Kiss) is a classic that I think you might enjoy. It also has several dorama adaptations. There's a JDrama, Kdrama, AND even a Taiwanese take on the story (oh, and there's an anime too!). The manga is also long (23 volumes) so there's plenty to enjoy.

Summary:

High school senior Aihara Kotoko has had a crush on Irie Naoki since freshman year. But she's been discouraged from confessing to him by a few things: he's a member of "Class A," the top ranking class in school, whereas she's in "Class F"; he gets the top score on every exam; and he's so smart, popular, and handsome that he's been class president every year. When Kotoki finally musters up the courage to present him with a love letter, though, Naoki outright refuses it, telling her point blank--with a look of disgust and boredom--that he doesn't like "stupid girls." Poor Kotoko's worst nightmare! Her heart is broken, but then a change in circumstance forces Naoki and Kotoko to be together every day...!?

Itazura na Kiss is a gem to the shoujo demographic, as it is the mother of a lot of cliches found in today's shoujo series. Despite the fact that it is 2 decades old, it still stands out as unique for it has the series follow the main characters well into their life, over a span of 10 years. It was so popular it inspired popular series like Marmalade Boy and Fruits Basket.

However, the author had an accident while she was moving homes with her son and husband, and passed away a few months later, leaving her popular manga forever uncompleted. It was adapted into a popular Taiwanese drama under the title "It Started With a Kiss", and it even earned sequel. It was also adapted as a short Japanese drama in 1996, and an anime series in 2008, with the anime portraying the author's planned ending.

It's not a manga but I recommend:

Hokuou Kizoku to Moukinzuma no Yukiguni Karigurashi (Novel)

It's a pretty fluffy story of how they grow to love each other after they marry. It's also a very basic cook book/survival guide to being a woodsman.