I love the BYU/BSU rivalry. I wish BYU would play BSU, Utah St., Utah and Hawaii every year. I think those games make sense for regional, recruiting and historical appeal.
It would be great if every school had a nonconference rival.
Florida/FSU, SC/Clemson, Kentucky/Louisville, ND/USC, ND/Stanford, Cincinnati/Miami (OH), Iowa/Iowa St., TCU/SMU, New Mexico/NMSU, AF/Army/Navy, Georgia/GT already exist.
Others that should be a no brainer:
WVA/Pitt, Texas/Texas A&M, Oklahoma/Nebraska, Kansas/Missouri, Maryland/Virginia, Colorado/CSU
Ideas for other programs:
West Coast
Washington/Wisconsin- Going for the W
Oregon St/Nevada- Hey, you're close enough. We'll play you.
Oregon/Fresno St.- The Battle of Andy Ludwig
Cal/San Jose St.- Bay Area fun
San Diego St./UCLA- South Cenral Bowl
ASU/UNLV- Point shaving bowl
Arizona/Texas Tech- Border Conference rivals
Washington St./Idaho- bad football just miles apart
Southwest:
Oklahoma St./Tulsa- Oklahoma's whipping boys bowl
Baylor/Arkansas- SWC rivals
Texas St./UTSA- They're FBS? Bowl
Arkansas St./North Texas- Former Sun Belt rivals
Houston/UTEP- East Texas vs. West Texas
Louisiana Monroe/Louisiana Tech- Bayou Bowl
Rice/Tulane- Smart schools that stink at football
South:
Mississippi St./Southern Miss- Hey we're both in Mississippi bowl!
Mississippi/Memphis- Elvis Bowl
UCF/FIU- Just because both schools are in Florida
USF/FAU- Just because both schools are in Florida part 2
Duke/Vandy- Smart schools in the South
Tennesee/Virginia Tech- Nascar Border War
Notre Dame/Purdue- longtime rivals
Miami/Auburn- Pay for play bowl
UAB/South Alabama- Barely FBS bowl
NC St. vs. East Carolina- Pack of Pirates
Wake Forest vs. Charlotte- Carolina on my Mind Bowl
Western Kentucky/Ohio- Little Brother Bowl
Middle Tennesee/Georgia Southern- The Blue Border War
North:
BC/UConn- Battle for New England
Rutgers/Syracuse- Both schools pretend to be NYC's team
Indiana/Ball St.- David Letterman Bowl
Northwestern/Kansas St.- Purple Wildcat Bowl
Minnesota/Central Michigan- Colors look the same game
Ohio St./Alabama- Oh yeah!
LSU/Michigan- It's not yellow it's maize bowl
Penn St./Temple- PAin bowl.
UMass/Old Dominion- Minutemen vs. Monarchs
Illinois/North Carolina- Rather be playing hoops
Wyoming/Western Michigan- Cold Gold
Notre Dame/Michigan St- Long time rivals
Kent St./Marshall- Tradegy Bowl
Army/App St.- A list schools
The MAC/Sun Belt challenge:
Buffalo/Georgia St.
Toledo/Troy
Akron/Louisiana Lafayette