Singer-songwriter-guitarist Ad Boc formed Miranda Warning on January 2, 1987, and the group purveyed a driving power-pop sound in the Boston venues, on the airwaves, and around the eastern half of the USA for the next seven and a half years.

Sometimes a quartet, sometimes a trio, the line-up changed several times and at one time or another included bassist Bob Weston (Volcano Suns, Shellac, Mission of Burma), Doug Trachten (Lemonheads, Stinking Badges), Rick Shaw (Navy Blue Nuns, The Meltaways) and other great musicians. Recordings with producers Carl Plaster (The Bags), Tom Hamilton (The Lemonheads), Drew Townson (Anastasia Screamed), Rick Mosher and others resulted in three albums (1989, 1991, and 1993) for the Presto! Records label, headed by former Bunratty's, Middle East, and Mama Kin talent buyer Chris Porter. The third album, Twelve Speed Pop Blender was licensed in the U.K. by Boss Tuneage Records. Each disk demonstrated progress and garnered increasing critical praise. The group's final recordings, in 1994, released only as a four-song cassette, won "tape of the month" honors in venerable local music publication The Noise, after which, Brookner joined Orbit and was replaced by producer Rick Mosher.

Touring throughout the east coast, south, and midwest brought Miranda Warning to 43 cities in 19 states before the group's final performance in June of 1995 at The Hard Rock Cafe in Boston. The Miranda Warning band name was re-used by an alternative rock group from Virginia, and then again by a pop group from Spain that is still very popular there. Boc, along with drummer Tom Evans, then went on to form Jumprope, an indiepop group that released three albums and continued to play through 2002. Mark Brookner and Rick Shaw each moved to southern California locations.

Since then, Boc recorded a still unreleased album in 2004 with songwriter Rob Galgano. Shaw formed the band Banquet Hall in Los Angeles. In 2009, there was a one-off MW reunion gig at The Rabbit Hole in Fitchburg MA. In 2010, a 2-CD set of live radio performances from WJUL/WUML, Twenty Years in the Fallout Shelter, was released, with technical help from Bob Weston. It features many of the bands who played on WMUL's live music show, including Miranda Warning. In the same year, the last active line-up reunited for a set upstairs at a Fitchburg books & records store The Rabbit Hole.

Late in 2014, the final active line-up of the band reunited for a set's worth of material at ONCE Ballroom in Somerville MA as part of the expansive, multi-venue, multi-week extraveganza WMBR's Pipeline! at 25 presents: 50 Years of Boston Rock, featuring about 80 Boston-area original-rock bands of the previous fifty years, most reuniting for the first time in many years.

In the 2010s, Evans and Mosher play and record together. Boc records solo material and has released two albums, Pop Supraliminal and Beginners Only Songs. Evans and Boc also founded a tribute to the solo careers of The Beatles called AfterFab. Boc continues as a member of tribute band Shot of Poison and event producer of tribute rock shows for theaters.

In 2021, the Presto! Records label was digitally re-launched to make the catalog available on Spotify, YouTube, etc. Ad, Tom, Mark, and Rick Shaw reunited remotedly to re-record a song and video for the live-streaming-online re-launch presentation.