The 68-year-old was an opportunist who assaulted vulnerable young women, Southwark Crown Court was told.
The former Radio One DJ, whose real name is David Patrick Griffin, allegedly assaulted women while working as a disc jockey, acting in pantomimes and at the opening of a hospital radio station.
In one incident at a local radio station the jury of eight women and four men was told a woman went "ballistic" after the DJ allegedly targeted her.
Mr Travis, from Buckinghamshire, is charged with a total of 13 counts of indecent assault dating back to between 1976 and 2003, and one count of sexual assault in 2008. He denies all the charges.
Opening the Crown's case, prosecutor Miranda Moore, QC, showed the jury a short clip of Top of the Pops from 1978, in which it is alleged Mr Travis is starting to assault a woman.
The 19-year-old had travelled to the show with a friend and alleges Mr Travis targeted her. The presenter is seen flanked by two women in the clip, one of whom is said to be the alleged victim.
Her friend "remembers her being angry and upset and saying this defendant had put his hand up her skirt", the court heard.
Ms Moore said: "The incident was actually cut from what was broadcast."
Mr Travis was arrested under Scotland Yard's Operation Yewtree, which was prompted by abuse allegations involving the late Jimmy Savile, the court heard.
Earlier in the day, Ms Moore said women had come forward from "all parts of the United Kingdom" with similar allegations against Mr Travis.
In another incident, Mr Travis allegedly assaulted a woman working in the pantomime Aladdin in Crawley, West Sussex, between November 1990 and January 1991, the court heard.
Mr Travis pressed against the woman and held the door shut in a room at the theatre, the prosecutor said.
Mr Travis stopped his indecent assault when one of the Chuckle Brothers, who were co-starring in the show, could be heard walking past in the corridor, she added.
Ms Moore added: "She did not want it, she did not ask for it, she did not consent to it."
The alleged victim reported the incident to a stage manager but it was decided she would not go to the police because Mr Travis was a "star", the prosecutor said.
The theatre later decided that female workers should not be left alone with Mr Travis during the show's run, she then added.
Three counts relate to two women who worked at radio station Chiltern FM between 2000 to 2003.
Mr Travis worked as a DJ at Chiltern, Ms Moore said, and was "sexually assaulting" one woman and other colleagues on a "regular basis".
During one alleged incident, one of the women had just started and was being shown round Mr Travis's studio, the court heard.
Of the alleged incident, Ms Moore said: "It felt uncomfortable to her and felt wrong."
Mr Moore said that, after another alleged incident with the same woman, "It appears this is the straw that broke the camel's back.
Ms Moore added: "She went ballistic."
The woman shouted out in front of other members of staff: "Don't touch me, you're a pervert", jurors were told.
Ms Moore added: "You will hear from other witnesses the row that ensued."
The jury was also told about an alleged incident involving Mr Travis, not included in the charges against him, at the opening of a hospital radio station.
The trial, which is due to last up to six weeks, continues.