It's called Kuroneko
There are like 6 individual comics for the stories. I read 3 or 4 and they all had the similar plot of what ur talking about.
http://www.mangago.zone/read-manga/kuroneko_kareshi_no_asobikata/
that's the first one and is the initial becoming a couple one and the rest are the stories that you want.
Not too surprised you've seen them. I got annoyed by it bc it was the same over and over, beginning was nice tho. I'll look through my read and reading to see if I have any other ones.
See You Again is kiiind of like what your asking for but it gets complicated so I don't really think so but wanted to throw it out there.
SO a few that have the concept. Some do it in a weird way so you might not like it but anyway.
Don't expect too much
http://www.mangago.zone/read-manga/color_recipe/
http://www.mangago.zone/read-manga/from_points_of_three/?av=2
http://www.mangago.zone/read-manga/if_you_do_not_obey_me/
http://www.mangago.zone/read-manga/eto_irokoi_zoushi/ (similar concept)
http://www.mangago.zone/read-manga/choco_strawberry_vanilla/ (don't remember well but pretty sure it happens but the relationship isn't a set one)
http://www.mangago.zone/read-manga/tonde_hi_ni_iru_natsu_no_neko/
http://www.mangago.zone/read-manga/fushidara_na_hanatsumi_otoko/ (ish)
http://www.mangago.zone/read-manga/the_baker_on_the_first_floor/ (long one but it does happen)
Then this is basically a trillogy on one shots which make a story(organized in order)
(Though it is half half in terms of the dating part, just don't expect too much from them)
1. http://www.mangago.zone/read-manga/messiah_no_yakubi/
2. http://www.mangago.zone/read-manga/messiah_no_kyojitsu/
3. http://www.mangago.zone/read-manga/messiah_no_sentaku/
Good yaoi with breakup/make up or other major problems after they start dating?