Could anyone recommend me a few fun slice of life/school life/... manga (without romance) ...

flat is a slice of life manga about this teenager who likes to cook and a fairly withdrawn little kid who gets attached to him
it doesn't really have comedic scenes but it's one of my favorites and extremely cute
http://www.mangago.me/read-manga/flat_aogiri_natsu/

saiki kusou no sainan is one hell of funny school life =D

Agreed with KenGoldenTree! (๑•ㅂ•)و✧ Danshi Koukousei no Nichijou is an amazing anime. Also haven't read it, but give it a go!

You made me realize how I absolutely don't read slice of life without romance, but I grabbed some from my list. Hope they are good for you :3

http://www.mangago.me/read-manga/tonari_no_seki_kun/ (Great usage of creativity! Darn funny)
http://www.mangago.me/read-manga/angel_densetsu/ (Not focused on romance since it's a shonen. Best slice of life character ever. Will distract you for a while :3)
http://www.mangago.me/read-manga/gokusen/ (One of the best school life manga. For the ones who love GTO, or maybe you could have a go at both, though Gokusen is more lighthearted)
http://www.mangago.me/read-manga/koukou_kyuuji_zawa_san/ (Very interesting depiction of a Baseball club. It makes me smile, though it's not hilarious)
http://www.mangago.me/read-manga/negative_twin_tower/ (Just read this one. Moe gap between appearance and personality. It's cute, and funny)

And some other recommendations:
http://www.mangago.me/read-manga/wild_cats/ (It is VERY CUTE. Love mangas with animals, but be warned sometimes it gets a little sad. ;3; But it's so adorable. Slice of life with a twist)
http://www.mangago.me/read-manga/onward_maiden_road/ (If you like yaoi like everyone here, don't miss this one-shot. Such is a fujoshi!)

Cheers mate!(≧∀≦)

Thank you so much everyone! I already know some of them, but i really liked them so I'm looking forward to your other recommendations!

*to read your other recommendations ^-^

Yes! I also love the Robot Family *plays robot family theme* The way Rumi cares for them is so cute (づ￣ ³￣)づ I also love the shogi episode, the one where she imagines warring states scenes with princesses and a general e she helps as the poor shogi piece by hitting Seki with an eraser. lol (≧∀≦)

https://www.youtube.com/watch?v=SyqJhdUEbNM
SCRAMBLED EGGS!
Robotto ~ Robotto ~~ Robotto Kazokuuuu!~
itsumo issho no nakayoshi oyako oooooo~~