Green Bay Packers defensive end Mike Butler, who played at Coolidge High School in Washington, has agreed to play for the Tampa Bay Bandits of the U.S. Football League in 1984.

The Bandits announced yesterday they had come to terms with Butler, a 6-foot-5, 265-pound six-year veteran out of Kansas. The ninth player taken in the 1977 draft, he is the second NFL player signed by the Bandits. Cincinnati wide receiver Cris Collinsworth announced last month he will join the Bandits in 1985 . . .

Linebacker Lawrence Taylor, the NFL's defensive player of the year his first two seasons, joined the increasing list of prominent NFL players seeking to renegotiate contracts.

As the Giants veterans reported for their first day of training, Taylor was at home in Saddle River, N.J. He aims to rewrite the estimated $1.3 million, five-year deal he signed as a rookie in 1981.

Taylor vowed not to report until he had a commitment from the team. "It's something I've got to do," he said. "I'm prepared to sit out the year."

Among others staying away from camp while demanding renegotiation are offensive tackle Anthony Munoz and fullback Pete Johnson of Cincinnati. In Johnson's case, though, Bengals executive Paul Brown is awaiting NFL Commissioner Pete Rozelle's resolution of the cocaine involvement of Johnson and defensive end Ross Browner. Said Brown: "I think football players, not just these two, have got to get a message (about drug use) from a leaguewide standpoint. We can't go on like this with these people" . . .

The owner of the USFL's new Memphis franchise, Logan Young, circles Pepper Rodgers, fired as head football coach at Georgia Tech four years ago, as his leading candidate for coach . . .

The Hall of Fame Classic, fifth in attendance last year among the 16 NCAA-approved bowls, has changed its 1983 date, to allow prime-time television coverage, to Dec. 22 at 8:05. It is one of six games that Turner Broadcasting System announced yesterday for prime-time national cable television this fall as part of its contract with the NCAA. The others: Sept. 10 (to be selected); West Virginia at Maryland, Sept. 17; Arizona at California, Oct. 1; LSU at Tennessee, Oct. 8; Texas A&M at Baylor, Oct. 15, and Virginia at Georgia Tech, Nov. 7.