They worked on the NBC hit together for six seasons in the late '80s and early '90s, after Alley stepped in as lead actress in 1987, following the departure of Shelley Long. Alley's character, Rebecca Howe, was the bar manager and a love interest of bar owner Sam Malone, played by Ted Danson.
"I always felt close to her. She was very supportive of me back in Cheers days when I was having a bit of an issue with drugs and the law, so to speak," Grammer tells Yahoo Entertainment before chuckling. "But other than that, I just got a kick out of her."
Grammer, who became a cast member at the beginning of the third season, says he immediately sensed that Alley's addition was a win.
"When she joined Cheers, I thought to myself, 'Well, this is a show. It's gonna become more popular than it was before,'" Grammer says. "She came in, and she had such energy and such beauty as well, natural qualities that made her a lovely person as well as a nice girl to look at, you know, which was still something that we cared about then. Without embarrassment, yeah, I thought she was a really beautiful woman and she was delightful along with it. And that's a rare combination. And she just always, always kept things alive and bubbly and creative."
Grammer laughs as he cites just one memorable moment with Alley.
"She once said to me... oh gosh, it's inappropriate," he says, "but she said that she dedicated herself to spending as much money on flowers each week once she stopped doing something else that wasn't so good for her."
In fact, the show had performed strongly after its first season. It was part of NBC's original Must-See TV lineup, pulling in millions of viewers each week.
Grammer, whose latest gig is hosting Stage Access, a streaming service dedicated to the performing arts, thinks people connected with Cheers for many reasons.
“It was a celebration of the chosen family you have and it happened to be set in a bar, which was a familiar scene for a lot of Americans at the time," he says. "It was good natured, though, and it was headed by Ted Danson — such an affable guy."
When that sitcom ended, Grammer continued to play Dr. Frasier Crane on Cheers spinoff, Frasier. The critically lauded show ran just as long as Cheers: 11 seasons, from 1993 to 2004.
He's set to play him once again in an upcoming revival which is currently casting. The first rehearsal is scheduled for Feb. 1. Becoming Frasier again wasn't difficult for the actor who famously became the first to earn Emmy nominations for playing the same character on three different shows: Frasier, Cheers and another TV comedy, Wings. He took home four trophies for lead actor on Frasier.
"He's like putting on a favorite old jacket, you know, it's really easy for me to slide back into it," the Tony winner says. "It was a fully fleshed out characterization on my part, and I walked a lot of the same streets with him, you know, for a long time. So he's always in there somewhere, ready to pop out."
Before that, Grammer can be seen in Lifetime Christmas movie The 12 Days of Christmas Eve, alongside his daughter Spencer, and Christmas in Paradise, which is available on Prime Video, as well as hosting the holiday content on Stage Access.