A lot of scenes shown in trailers were cut at the last minute due to objection from producer Sherwood Schwartz. These included a grunge band scene in the garage with Greg and Eric, and a seduction scene between Mrs. Dittmeyer and Peter.
Florence Henderson initially turned down her cameo, as she didn't like the scene she was to appear in. After test screenings criticized the absence of Henderson, the producers convinced her to appear under the condition that she would have some certain control over her scene. At that point, Henderson accepted.
The producers had unsuccessfully sought to use the original house that was used for exterior shots from the original Brady Bunch series, but the owners of the home in Studio City, California refused due to many years of seeking fans who've trespassed. Instead, they found a similar home in nearby Encino, and erected a facade, and actually filmed scenes in the front yard.
As he heads off to his business meeting, Carol Brady tells her husband, Mike, to "Go get 'em, Tiger", and then wonders to herself "Tiger, Tiger: what ever happened to that dog?" Tiger was the name of the Bradys' dog in the TV series. But, after the first two seasons, the dog was never seen again, even though his dog house was still out back. The movie is supposed to take place in the later seasons. So, that line is an inside joke to the show.
After 'Jan' runs away from home, she is seen walking a dark city street with provocative music playing in the background. This is an in-joke reference to the original Jan Brady, Eve Plumb. Plumb famously portrayed a runaway-turned-prostitute in the TV-movie "Dawn: Portrait of a Teenage Runaway".
Christopher Daniel Barnes, who plays Greg Brady here, was among the cast of the NBC TV series Day by Day (1988), as Ross Harper. In a memorable 1989 episode, Ross Harper falls asleep and dreams he is Chuck Brady, the "lost" Brady, in a very clever "Brady Bunch" reunion, with much of the original cast appearing.
When Marsha is talking to the model at the photographer's studio, she asks if she is a "Breck Girl." The Breck Shampoo company used illustrations of women in their print advertisements for several decades, starting in 1937, and Breck Girls were ubiquitous in magazines during the run of the original The Brady Bunch show. The joke is two-fold: the Breck Girl ad campaign was long over by the 1990's, and the Breck Girl models were rendered in pastel drawings rather than in photographs.