"Just D", perhaps. They popularized hip hop in Sweden in the early 90s. Not sure how easy their lyrics are to understand, but at least there are no deep political/social messages to distract you; the lyrics are playful with a lot of irony and self-distance - they were three white guys from affluent Stockholm families.

Relalalaxa - lyrics - about, well, calming down and relalalaxing.

Vart tog den söta lilla flickan vägen? - lyrics - "Where did the cute little girl go?"

Tre gringos - lyrics - about taking the blue line of the Stockholm subway to a suburb (where everything is strange and different) in order to buy a saxophone (this is in the style of dansband!)

Juligen - lyrics - about the terror of Swedish Christmas celebrations

87-87 lyrics - nostalgia about the 1980s

Although I don't like him, I can say Mange Schmidt has a relatively slower rap style. Maybe he'd be good for a learner?

Tio små moppepojkar by Dr Alban was made to encourage road safety and it'll also teach you how to count to ten in swedish.

Maybe Ison och Fille a popular song is: Länge leve vi. Or maybe Snook with a classic from 2007.

I don't listen to a lot of rap but I am quite fond of Movits!, partly because of the electroswing elements. Try this song which I am pretty sure doesn't have a lot of references, just a story about a guy stealing apples :)

https://www.youtube.com/watch?v=C8fIVTH0TiM

I find Movits a little difficult to understand sometimes, but I really like their music and the lyrics are relatively simple when you're reading them. Movits! performed a lot with Zacke, and I like his stuff as well. Men Nånting with Timbuktu is a really fun song, and the lyrics are relatively simple.

I also see Afasi come up a lot too, but I don't really like him.