Short Answer: another spin-off-- Record Shop
Barbershop is one of the precious few comedies that spawned a trilogy. It also had a spinoff in Beauty Shop. That one also did very well and deserves a sequel.
But consider that while Barbershop's sequel landed two years later to capitalize off of the first one's popularity.... and the third landed more than ten years after that to capitalize on the nostalgia of the first two.... but that we haven't seen anything since. Now it's 2023, and it seems clear that the story is done and there is no more to say-- which is fine; no story has to go on forever.
Which is why my suggestion is to start over with the same idea, look, and feel, but another kind of business: a record store.
The story would be set at the time when CDs were taking over, and even streaming was on its way in, and records seemed to be consigned to the museums along with the butter churns and buggy whips.
Except DJs discovered LPs and how to use them to make hip-hop, saving the vinyl industry, which is-- as of this writing-- once again bigger than CDs.
The plot could revolve around a declining shop, fiercely held onto by a proprietor who is steeped in the love and knowledge of old-school soul, funk, R&B, blues, and jazz. He has no respect for newer sounds like disco, finding them diluted versions of his favorite music.
Then some younger people discover the store, perhaps ducking in just to get out of a sudden downpour. They start rummaging through the racks, laughing and carrying on. He assumes they are being disrespectful. Then one asks he if he has an obscure James Brown record.
His entire demeanor changes-- they were not being disrespectful, but exuberant and excited. They pump him for knowledge and find him to be a walking encyclopedia of music information. Word gets around quickly, and the shop flourishes anew.
Then disaster strikes once again-- He is invited to a block party by the young customers, and learns what they are doing with the records they bought in his shop. They are scratching them on turntables, rapping over the lyrics, and turning them into whole new songs!
Outraged, he throws a giant conniption, massively disrupting the street fair. He is so incensed at the disrespect he perceives that he tears up and loses his voice.
He runs to his shop and locks himself inside. After he calms down, he washes his face and makes a sign for the door of his shop: "Adults only! No one under 21 admitted! This music is for grown-ups."
Once again, the shop declines. Then some older hip-hop artists come in and are also excited by his huge collection and deep knowledge. Only these people are also very knowledgeable and respectful.
He begins to understand that whole generation never learned how to make their own music-- to know music theory or skills-- so they rely on, and use, the musical sounds of his own generation.
This gives him an idea. We see him clear out an extra storage room, and he takes down his grouchy sign to put up another one: "Free music studio available for practice and lessons."
The room is simply arrayed. Some tables, chairs, and music stands, a chalkboard, an upright piano, and a record player.
Now, a different group starts to come around-- musicians, mostly from his generation, along with many younger people. The shop is alive with live music. Every once in a while a teacher pops his head out and borrows a record to play for a student, to illustrate a point or style to him.
Eventually, the shop owner brings in some recording equipment, thinking students will be able to record themselves for study, and the teachers can record tapes to take home to study with. The teachers and students bring in more equipment...
...and we fast forward a year. He has bought the storefront next door, to make a full-on music school and recording studio.
The hip-hop artists find the music studio, and every element becomes symbiotic with the others. The studio uses the teachers and students from the school, and records from the store. The store sells records, instruments, and equipment to the school and the studio. And the students from the school work at the studio and store.
But where is our store owner? Retired? No, he is across the street. He turned an old and rundown movie house into a concert venue. Any night of the week, live music from both local and national acts comes pouring out: Soul, R&B, funk, blues, jazz...
...and even hip-hop. And they are still using the records they got from his shop.
"These kids, they were just doing the same thing we did-- taking old music and making it new," he realized. "Heck, my grandpa said the same thing about my music that I said about hip-hop. He was wrong, and so was I."
There could even be flashbacks. He only opened a store because he was in a band and then injured his hand. He was a trumpeter, but they were on tour and the car broke down. He tried to fix it with the only tools they had, but they were the wrong ones, and his hand paid the price. He wanted to at least be around music, if he couldn't play it.