Her first appearance was in a 1977 issue of Good Housekeeping
Appeared on ABC's That's Incredible!
Appeared on NBC's Today Show at age of four
At the age of seven, she appeared on the David Lynch film Dune
Played Gersten Hayward in the TV series Twin Peaks
Appeared in the film Liebestraum
Appeared in the film Bodies Rest and Motion
The HBO trilogy Hotel Room
Starred in Fun, a movie that won an award at the Sundance Film Festival
CBS's movie of the week The Disappearance of Vonnie
She appeared on the TV game show Wheel of Fortune
Played Madonna's lover and witch in training in the movie Four Rooms
Of course her weekly appearance on TV's Cybill
Appeared in an the March 6, 1995 issue of People Weekly
Appeared on the Connan O'brian show
Appeared in the movie Mr. Holland's Opus as the clarinet student
Played for the 25th anniversary of the Kennedy Center for the Performing Arts
Appeared in the March 1996 issue of Sassy Magazine
Appeared in the April 1996 issue of Seventeen Magazine
Appeared in an issue of TV Guide with Dedee pfeiffer who plays her sister on Cybill
Appeared in the movie Citizen Ruth
Appeared in the October 1996 issue of In Style Magazine
Appeared in an issue of Rolling Stone Magazine
Alicia played and won Celebrity Jeopardy in 1996
Appeared in the November 18, 1996 issue of People Weekly
Appeared in CBS's TV movie The Reef
Did the voice for one of the characters in the animated film GEN-13
She appeared on the Late Show with David Letterman on 1/6/97.
Appeared in the July 14, 1997 issue of People Weekly
She was on Celebrity Jeopardy 8/22/97 (I heard she kicked ass!)
She was on Celebrity Jeopardy again on April 28th 1998. Click for a link to real audio of the show.
The CBS drama Passion's Way. (I think this is the same as "The Reef" but I'm not sure).
The 1998 horror film Urban Legend.
The October 1998 issue of In Style Magazine.
The May 1999 issue of Details Magazine.
An episode of Ally McBeal
I am trying to put these in chronological order whenever I can.
Please help me if you know more.