…what other artists will I like?
Well, the first two I’d suggest trying out would be Howlin’ Wolf and John Lee Hooker. Both are usually more solemn than Muddy Waters, but they’re both icons of Chicago blues.
There’s also Johnny Winter. Muddy Waters liked him enough he had him play on and produce his albums.
What’s it about Muddy that you like?
Have you poked around on YouTube for ideas? Usually the sidebars are loaded with similar artists.
Willie Dixon and B.B. King might fit your bill.
And of course you can plug Muddy Waters into Pandora and get their suggestions.
You might like Paul Rodgers’ tribute album Muddy Water Blues
Might want to check out Robert Johnson - an incredibly influential blues player mainly Mississippi Delta Blues, who alas died at the age of 27
You might find Ali Farka Toure and/or son Vieux Farka Toure interesting.
SRV - Stevie Ray Vaughn
Unfortunately we lost him way too soon 
Hah! The very two I was going to mention! But yeah, just look up “Chicago blues”.
As far as specific artists – I would suggest Little Walter, Sonny Boy Williamson (Rice Miller), Otis Spann, Elmore James, Slim Harpo, and Lightnin’ Hopkins, just off the top of my head.
Probably not John Hiatt, because he’s always crossing Muddy Waters.
That VOICE.
As I’m sure you know, they also performed together onstage. The live album from MW’s 1977 tour is great.
Breakin’ it UP, Breakin’ it DOWN (Muddy Waters, Johnny Winter, James Cotton)
Try Sonny Terry and Brownie McGhee.
Muddy Waters said that Robert Johson sold his soul to the Devil to be able to sing the blues.
It’s true! It was well documented in O Brother, Where Art Thou?
You need a more direct cite than that.
Crossroads has a great soundtrack including a lot of original for the movie harp work from Sonny Terry.
Koko Taylor
Albert King. Here he is with Stevie Ray Vaughn accompanying.
Yeah.
I agree with all mentioned in the thread. I would add is Ron “Pigpen” McKernan, who was the original front man for the Grateful Dead until he drank himself to death. After Pig died the Dead were never heard from again. I think Muddy outlived him. And Janis Joplin.