The San Antonio Banderas
The Albuquerque Isotopes did. 
The Havana Negillahs.
The Albuquerque Kookaburras.
The Walla Walla Kookaburras.
Although it really should be cheating to use “Walla Walla”. And “Kookaburra”.
The Washington Campaigners
A question that idiots tend to think will be a “gotcha” for Navarrese is “what’s the only professional soccer team in Spain that’s got a Basque name”. Osasuna, Pamplona’s team, means Health or Well-being in Basque.
I still have never been able to get one of those idjits to explain why they whink we wouldn’t know it 
Do they think we’ll believe it was picked by tossing Scrabble letters in the air until they came down pronunceable? But in any case, it’s a great name… for detecting morons.
I have always felt that had the Cardinals gone to Gila Bend, they could have become The Gila Monsters.
The Rams should move to Dodge City.
There’s a small town in my area named Lyons. Predictably, their HS mascot is the Lyons Lions. I’ve always thought they should have dual mascots, the Tigers & Bears, which would allow them to have a great chant.
Frankfort, Indiana Hot Dogs
http://fhs.frankfortschools.org/
I sent for and bought a sweatshirt from this school, as I have a dachshund.
Upon reviewing my OP, I see that I should have made this clearer:
This thread is for made-up (by you) clever team nicknames.
Not clever team nicknames that already exist.
mmm
How about names for the cheerleading squads?
I always thought the Rams should name theirs “The Embraceable Ewes”.
French Lick Orgasms
What about the Sweet Somethings of Somewhere?
The New York Minutes.
Wow, we sure did. Don’t know how I missed that.
mmm
Panama Reds
Acapulco Golds
Istanbul Shits
Jackson Ofabitches
Indiana Kendricks
Upton Hellions
Warboys War Boys