8 Simple Rules for Dating My Teenage Daughter (7 p.m., Ch. 4): ABC airs the first of three episodes John Ritter did before his recent death, but you've got to wonder if fans will be laughing or crying. It's a weird situation. I'm not surprised that ABC has decided to keep the show going — the fourth installment will be a "very special" hourlong episode in which the family deals with the death of Ritter's character before moving on. TV is a business, and while "Rules" isn't a big hit, it's one of the few moderate hits ABC has . . . but can you really do a sitcom about death? (Second-season premiere)
Gilmore Girls (7 p.m., Ch. 30): Rory heads off to Yale, and Luke has a big surprise for Lorelai. (Fourth-season premiere)
I'm With Her (7:30 p.m., Ch. 4): Winning new sitcom about a schoolteacher (David Sutcliffe) and a movie star (Teri Polo) who meet, fall in love and begin a relationship — and discover they really do live in different worlds.
The Guardian (8 p.m., Ch. 2): Nick's client accuses her boss of sexual improprieties. (Third-season premiere)
According to Jim (8 p.m., Ch. 4): Third-season premiere of this lame sitcom.
Frasier (8 and 8:30 p.m., Ch. 5): If this is (as expected) the final season for "Frasier," maybe there's some hope. The first couple of episodes are at least watchable, which the show hasn't been for a couple of seasons. Oh, the writers deal with Roz quitting her job far too easily, but they're correcting a mistake made at the end of last season. And there are some surprises and some laughs in the first two episodes. First up, Niles and Daphne deal with infertility; then Frasier deals with his obnoxious girlfriend. For five years, this was the best comedy on TV. For the past five years, it has been in steady decline. Let's hope this is indeed an upturn.
Matters of Race (8 p.m., Ch. 7): Nine different filmmakers explore different angles of racism in America.
Less Than Perfect (8:30 p.m., Ch. 4): Will Claude leave Will to work for Mr. Elliot? (Second-season premiere)
One Tree Hill (8 p.m., Ch. 30): Premiere of this promising new hour that revolves around two teenage half-brothers — one raised by his father and the other ignored by him — are both rivals and teammates on and off the basketball court.
Judging Amy (9 p.m., Ch. 2): Amy is reassigned from family to criminal court. (Fifth-season premiere)
NYPD Blue (9 p.m., Ch. 4): Sipowicz has still more personal crises (haven't we seen this before?) in the 11th-season premiere.
Law & Order: SVU (9 p.m., Ch. 2): A pregnant woman is abducted — and NBC takes direct aim at "NYPD Blue" (and less direct aim at "Judging Amy") by moving this show to Tuesday nights. (Fifth-season premiere)