Here's a breakdown:
A Nightmare on Elm Street (1984)
* Directed by Wes Craven
* Produced by Robert Shaye
A Nightmare on Elm Street 2: Freddy's Revenge (1985)
* Directed by Jack Sholder
* Produced by Robert Shaye and Wes Craven
A Nightmare on Elm Street 3: Dream Warriors (1987)
* Directed by Chuck Russell
* Produced by Robert Shaye and Wes Craven
A Nightmare on Elm Street 4: The Dream Master (1988)
* Directed by Renny Harlin
* Produced by Robert Shaye and Wes Craven
A Nightmare on Elm Street 5: The Dream Child (1989)
* Directed by Stephen Hopkins
* Produced by Robert Shaye and Wes Craven
Freddy's Dead: The Final Nightmare (1991)
* Directed by Rachel Talalay
* Produced by Robert Shaye
Wes Craven's New Nightmare (1994)
* Directed by Wes Craven
* Produced by Robert Shaye and Wes Craven
Freddy vs. Jason (2003)
* Directed by Ronny Yu
* Produced by Joel Silver
A Nightmare on Elm Street (2010)
* Directed by Samuel Bayer
* Produced by Michael Bay, Brad Fuller, Andrew Form, and Toby Emmerich
While Wes Craven is considered the creator of Freddy Krueger, he did not direct all of the movies. He was involved in the first five films, both directing and producing. His involvement in the franchise continued with "Wes Craven's New Nightmare" (1994), which was more of a meta-narrative on the series.
It's important to note that the production companies, directors, and producers involved varied with each sequel, and some films were more successful than others.