Romeo x Juliet - just like in SAO there was a scene where they lived together in the same house. That's the closest I can think of from what I recommended.
Hmmm... in
Inuyasha main couple gets together at the end but series have MC's ex-girlfriend
We get to see a bit of their past relationship and besides they didn't fully give up on each other either so we do get some hugs and kisses here and there.
However, Kikyou is sadly hated by many so I duno how you will view their relationship. For me personally she is one of the best characters who has lots of things going on for her. You need to look at things from her perspective and try to understand reasons behind her actions. If you won't consider those things, you'll end up hating her like many others and for wrong reasons. Because to be frank, some of her actions do seem nasty if you don't think deeper.
So yeh those 2 are the closest I can think of. R + J is a better choice for what you are searching though.
I'll try to risk and suggest the following...
Seirei No Morbito.
Those are not romance orientated series. However, main heroine Balsa and hero Tanda have very close relationship and at some point lived together. A lot of characters encourage them to get married in the series.
So yeh, it is not like SAO with romance and stuff but the relation they have feels a lot like of a properly married couple. That sense vise it gives a bit of SAO vibe. They also are both taking care of a boy (in SAO it was Yui) so yeh.
Main story is the following... Bodyguard Balsa was entrusted to protect a young prince Chagum who is hunted by his own father because he got possessed by a bad spirit.
Series are deep and follow their life while they are on a run away. Though there are many other things going on, I find this series unique and not like many other anime out there. It has depth.
Hope this helps.