BLOOMSDAY CELEBRATIONS The 80th anniversary of the Day in Dublin featured in James Joyce's ''Ulysses'' will be celebrated by the following organizations:
Boston Public Library will show the film ''Ulysses,'' starring Milo O'Shea, in Rabb Lecture Hall, at 2 p.m. Sat.
City Stage Company will present two plays adapted from Joyce's works: ''Gossipaceous Anna Livia'' (from ''Finnegan's Wake'') and ''Molly in Bloom'' (from ''Ulysses''), at Massachusetts College of Art, Tower Auditorium, 621 Huntington Ave. Call for times: 266-2733.
Arts and Society will present its sixth annual evening of music, poetry, and dramatic scenes based on the text of Joyce at 8 p.m. Saturday at Boston University Concert Hall, 855 Commonwealth Ave.
* JESSYE NORMAN AND THE POPS
Symphony Hall, 301 Mass. Ave. - Works by Gershwin, Cole Porter. 8 p.m.
* WOODY SHAW QUARTET
DICK JOHNSON & BOB WINTER
Cabaret Jazzboat, sailing from Long Wharf aboard MV Bay State - 7:30, 9:30 p.m.
* SILVER STARS STEEL ORCHESTRA
JAH SPIRIT, SA-SA-AY
Jazzboat, sailing from Commonwealth Pier aboard MV Provincetown II - 7:30, 9: 30 p.m.
Dates in italics indicate original publication of reviews.
* A COLLECTION OF BRITISH RUBBISH
Cabaret Theatre, Bradford Theatre Center, 275 Tremont St. - Tues.-Thurs., 8 p.m.; Fri.-Sat., 6:30 & 9:30; Sun., 7.
* BRIGHTON BEACH MEMOIRS
(Neil Simon's latest is an affectionate tribute to his family. 6/7.) Colonial Theatre, 106 Boylston St. - Mon.-Sat., 8 p.m.; mats., Wed., Sat., 2; Sun., 3. Through June 30.
* 42ND STREET
(Dazzling tap numbers, costumes, and scenery. 5/31.) Shubert Theatre, 265 Tremont St. - Mon.-Sat., 8 p.m.; mats., Wed., Sat., 2.
* JOSEPH AND THE AMAZING TECHNICOLOR DREAMCOAT
(Review to come.) Wilbur Theatre, 246 Tremont St. - Tues.-Sat., 8 p.m.; mats. , Wed., Sat., 2; Sun., 3.
* LADY DAY
(Reviewed today.) Next Move Theatre, One Boylston Place. - Tues.-Fri. 8 p.m.; Sat., 6:30 & 9:30; Sun., 3 & 7:30. Through June 24.
* SCHOOL FOR SCANDAL
American Repertory Theatre, 64 Brattle St., Cambridge - ''School'': Wed., 8 p.m. ''Sganarelle'': Fri., Sat., 8 p.m.
* COPLEY SQUARE BALLET
Publick Theatre, Christian A. Herter Park, 1175 Soldiers Field Road, on the banks of the Charles. Fri., Sat., 8 p.m.
* WINNERS OF 1984 NEW ENGLAND FILM FESTIVAL
Berklee Performance Center, 136 Mass. Ave. - Films by Ted Lyman, Daniel Keller and Jacki Ochs, Karen Aqua, Jem Cohen. Fri., 7:30 p.m.
* BUSCH-REISINGER MUSEUM
Kirkland and Quincy Sts., Cambridge - Drawings by German artist Joseph Beuys. Ends Sun.
* HAYDEN GALLERY
''Aesthetics of Progress.'' (Sleek, streamlined objects from the '30s; austere ones from the '80s. 6/7.) MIT, 77 Mass. Ave., Cambridge. Through June 24 .
* INSTITUTE OF CONTEMPORARY ART
955 Boylston St. - ''Currents'': an 18-month program designed to reflect the broad diversity in contemporary art styles, issues, and themes. Closed week of June 17-27.
* MUSEUM OF FINE ARTS
Jean-Franccois Millet: ''Seeds of Impressionism,'' through July 1; ''Trees,'' through June.
* A LIGHT UNTO MY PATH
101 Belvidere St., Christian Science Center, Boston - Free, nondenominational exhibit exploring the Bible in sight and sound. Mon.-Sat., 10-5; Sun. 12-5; closed Tues.