According to Google, you are only the second person ever in the universe to ask this question.

The song was covered in the following years:

* 1971 – by the jazz guitarist George Benson
* 1980 – by the punk band The Last Words
* 1980 – by the punk / gothic rock band The Damned
* 1981 – by the post punk band The Mo-Dettes in a Peel Session
* 1985 – by the hardcore punk band Ruin... for their White Rabbit promotional cassette and later (1986) included in their Fiat Lux album[3]
* 1987 – by the heavy metal band Sanctuary
* 1987 – by the synth-pop band Act
* 1987 – by the Avant–garde jazz classical band Durutti Column
* 1989 – by the hardcore punk band Slapshot
* 1990 – by the house music duo David Diebold and Kim Cataluna[4]
* 1995 – by The Murmurs (MCA Records)
* 1995 – by Mephisto Walz
* 1996 – by the Icelandic singer-songwriter Emilíana Torrini
* 1996 – by the Norwegian heavy metal band In the Woods... for their White Rabbit EP and later (2000) included in their Three Times Seven on a Pilgrimage album
* 1999 – by the Cincinnati-based Gothic/Garage Rock band Stop the Car for their final album Crash, after having featured the song regularly in their live set lists since the '80s
* 2001 – by the industrial band Collide.[5] A remix version appears in the ending credits of the 2007 film, Resident Evil: Extinction
* 2002 – by Enon for Don't Know When I'll Be Back Again VVA Benefit Compilation
* 2003 – by the performance art / experimental rock group Blue Man Group with vocals by Esthero[6]
* 2003 – by June Tabor and the Oysterband
* 2004 – remixed by the French DJ Mem Pamal, an hardtek mix with sample of the initial song.[7]
* 2005 – by Siobhan Fahey for The Best of Shakespears Sister album
* 2006 – remixed by the psychedelic trance act Fuzzion as Little Girl on the album Black Magic.[8]
* 2006 – by the Brechtian punk cabaret duo The Dresden Dolls at the Bonnaroo Music Festival
* 2006 – by The Cadets Drum and Bugle Corps in their show Volume 2: Through the Looking Glass
* 2006 – by Lana Lane for Gemini album.[9]
* 2006 – by Girl Talk in the track "Minute by Minute" on his album "Night Ripper"
* 2007 – by Patti Smith on her cover album Twelve.
* 2007 – by The Vincent Black Shadow at the Warped Tour, later recorded in the studio for the 2008 EP "Head In A Box"
* 2007 – by Trinidad & Tobago rock band, Rango Tango.
* 2007 – by The Crüxshadows on their Birthday EP.
* 2008 – by The Spectacles at the Bowery Ballroom
* 2008 – by Duckmandu of Fishtank Ensemble on his cover album Quack Rock: Five Duckades of Accordion Mega-Hits.
* 2008 – by Alternative band The Smashing Pumpkins as a tease in Heavy Metal Machine.
* 2009 – by russian rock-musician Naik Borzov in the soundtrack[10] for his audio-book "Fear and Loathing in Las Vegas" (russian translation of Hunter S. Thompson's novel) as "Black Rabbit" and "Funky Rabbit."

Side tangent, I did like the usage of White Rabbit in the Warehouse 13 episode "duped", the one with Lewis Carroll's magic mirror.

Elmo, I'd ask to punch your man-card, but I'm afraid it's been punched so many times there's nothing left.

I cannot choose one without either uncontrollably laughing or projectile vomiting.

The best Starship tune by time on charts and sales in general is probably Elmo's choice.