Here's all the network shows and their premeire dates (taken from AICN.com).
I've bolded the new genre shows that I remember and underlined all genre shows.
According to Jim (ABC) Sept. 20
Alias (ABC) Sept. 29
All Of Us (UPN) Sept. 19
Amazing Race (CBS) Sept. 27
America’s Most Wanted (Fox) Sept. 10
America’s Next Top Model (UPN) Sept. 21
American Dad (Fox) Sept. 11
America's Funniest Home Videos (ABC) Oct. 2
Apprentice (NBC) Sept. 22
Apprentice: Martha Stewart (NBC) Sept. 21
Arrested Development (Fox) Sept. 19
Bernie Mac Show (Fox) Sept. 23
Biggest Loser (NBC) Sept. 13
Blue Collar TV (WB) Sept. 25
Bones (Fox) Sept. 13
Boston Legal (ABC) Sept. 27
Charmed (WB) Sept. 25
Close To Home (CBS) Oct. 4
Cold Case (CBS) Sept. 25
Commander In Chief (ABC) Sept. 27
Cops (Fox) Sept. 10
Criminal Minds (CBS) Sept. 22
Crossing Jordan (NBC) Sept. 25
CSI (CBS) Sept. 22
CSI: Miami (CBS) Sept. 19
CSI: NY (CBS) Sept. 21
Cuts (UPN) Sept. 22
Desperate Housewives (ABC) Sept. 25
ER (NBC) Sept. 22
E-Ring (NBC) Sept. 21
Eve (UPN) Sept. 22
Everwood (WB) Sept. 29
Everybody Hates Chris (UPN) Sept. 22
Extreme Makeover: Home Edition (ABC) Sept. 25
Family Guy (Fox) Sept. 11
48 Hours Mystery (CBS) Sept. 24
Freddie (ABC) Oct. 5
George Lopez (ABC) Sept. 28
Ghost Whisperer (CBS) Sept. 23
Gilmore Girls (WB) Sept. 13
Girlfriends (UPN) Sept. 19
Grey's Anatomy (ABC) Sept. 25
Half & Half (UPN) Sept. 19
Head Cases (Fox) Sept. 14
Hope & Faith (ABC) Sept. 23
Hot Properties (ABC) Oct. 7
House (Fox) Sept. 13
How I Met Your Mother (CBS) Sept. 19
Inconceivable (NBC) Sept. 23
Invasion (ABC) Sept. 21
Joey (NBC) Sept. 22
Just Legal (WB) Sept. 19
Killer Instinct (Fox) Sept. 23
King of Queens (CBS) Sept. 19
King of the Hill (Fox) Sept. 18
Kitchen Confidential (Fox) Sept. 19
Las Vegas (NBC) Sept. 19
Law & Order (NBC) Sept. 21
Law & Order: Criminal Intent (NBC) Sept. 25
Law & Order: Special Victims Unit (NBC) Sept. 20
Living With Fran (WB) Sept. 16
Lost (ABC) Sept. 21
Love Inc. (UPN) Sept. 22
Mad TV (Fox) Sept. 17
Malcolm in the Middle (Fox) Sept. 23
Medium (NBC) Sept. 19
My Name Is Earl (NBC) Sept. 20
NCIS (CBS) Sept. 20
Night Stalker (ABC) Sept. 29
Numb3rs (CBS) Sept. 23
OC (Fox) Sept. 8
Office (NBC) Sept. 20
One on One (UPN) Sept. 19
One Tree Hill (WB) Oct. 5
Out of Practice (CBS) Sept. 19
Prison Break (Fox) Aug. 29
Reba (WB) Sept. 16
Related (WB) Oct. 5
Reunion (Fox) Sept. 8
Rodney (ABC) Oct. 4
7th Heaven (WB) Sept. 19
Sex, Love & Secrets (UPN) Sept. 27
Simpsons (Fox) Sept. 11
60 Minutes (CBS) Sept. 25
Smallville (WB) Sept. 29
Still Standing (CBS) Sept. 21
Supernanny (ABC) Sept. 23
Supernatural (WB) Sept. 13
Surface (NBC) Sept. 19
Survivor (CBS) Sept. 15
Three Wishes (NBC) Sept. 23
Threshold (CBS) Sept. 16
Twins (WB) Sept. 16
Two and a Half Men (CBS) Sept. 19
Veronica Mars (UPN) Sept. 21
War at Home (Fox) Sept. 11
West Wing (NBC) Sept. 25
What I Like About You (WB) Sept. 16
Wife Swap (ABC) Sept. 12
Will & Grace (NBC) Sept. 29
Without a Trace (CBS) Sept. 29
WWE Smackdown (UPN) Sept. 9
Yes, Dear (CBS) Sept. 21
I'm sure there are more. I'll modify the list as needed after others post. It should also be noted that 24 & Scrubs premiere in 2006.