Here is a list of places I’m aware of (though I haven’t been to all of them). Most of them are on the Kansas side of the state line, as until recently, Kansas City, MO restaurants were unable to allow corkage. Feel free to PM me with additions or corrections.
Kansas
Bonefish Grill, 5021 W 135th St, Leawood
$20 fee
Bristol Seafood Grill, 5400 W 119th St, Leawood
$10 fee
Carrabba’s Itialian Grill, 10586 Metcalf, Overland Park
$12 fee
Johnny Cascone’s, 6863 W 91st St, Overland Park
$15 fee
Hereford House, 5001 Town Center Dr, Leawood Town Center
$15 fee
J.Alexander’s, 11471 Metcalf Avenue, Overland Park
No fee
J.Gilbert’s, 8901 Metcalf, Overland Park
$20 fee
Room 39, 10561 Mission Rd (Mission Farms), Leawood
$20 fee
SPIN! Neapolitan Pizza, 6541 W 119th St, Overland Park (other locations as well)
$1 fee Sun - Thur, $5 fee Fri and Sat
Yia Yia’s Euro Bistro, 7021 W 135th Street, Overland Park
$15 fee
Missouri
The American Restaurant, 200 E. 25th St, Kansas City, MO
$35 per 750ml bottle.
$15 decanting per 750ml bottle.
Wine cannot be on The American Restaurant current wine list.
Limit to a la carte tables of eight or less guests.
No more than two bottles per table.
Not valid with other discounts.
No corkage fee on Tuesday nights.
The Capital Grille, 4740 Jefferson St, Kansas City, MO
$25 fee. Limit 1 bottle.
Cupini’s, 1809 Westport Rd, KCMO
No liquor license, so BYO is permitted, no fee
Extra Virgin, 1900 Main St, Kansas City, MO
No fee on Mondays, $35 fee on other days. Limit 2 bottles.
Le Fou Frog, 400 E 5th St, Kansas City, MO
$25 fee
Lidia’s, 101 West 22nd St, Kansas City, MO
$20 fee
Michael Smith’s, 1900 Main St, Kansas City, MO
No fee on Wednesdays, $35 fee on other days. Limit 2 bottles.
Webster House, 1644 Wyandotte, Kansas City, MO
$20 fee. Limit 2 bottles.