Choose Your Own Adventure 4-Book Boxed Set Ninja Box (Secret of the Ninja, Tattoo of Death, The Lost Ninja, Return Of the Ninja)

No, I think it's called "Ninja Series" by Jay Leibold with the last book by Raymond Montgomery. It was re-released as "Ninja Box" in 2019 with the name "Choose Your Own Adventure 4-Book Boxed Set Ninja Box (Secret of the Ninja, Tattoo of Death, The Lost Ninja, Return Of the Ninja)", that's available for order through Amazon.com : https://www.amazon.com/Ninja-Box-Choose-Your-Adventure/dp/1937133702 I think that's what you're looking for, but contrary to your thinking: it was published during the '80s, not the '90s.