Gene and Georgetti is still using Allen Brothers steaks, and it still has the same chef, so quality probably hasn't changed much. It's a great place to go for regulars. If you're not a regular, and not dining with one, the experience can be mixed.
The Chicago Chop House and Stetson's vie as far as the combination of Chicago experience and great beef are concerned, with perhaps an edge to the Chop House. If you want to add in a side of local history and sports mania, try Harry Caray's.
Carmichael's is also very Chicagoan; they serve choice-grade beef, and are thus more affordable than many. Weber Grill ranks with them -- though a different sort of Chicago experience, to be sure, the charcoal grilling adds an edge. For yet another kind of authentic Chicagoland experience, head up to Lincolnwood to Myron & Phil.
Lawry's, mentioned above, doesn't serve steak. It's a great place, but they serve roast prime rib.
If "authentic Chicago experience" were removed from the mix, and the question were where to get the best steak in town, the answer would be Primehouse. Vice versa, there's Ronny's (although the Thompson Center location doesn't have half the, er, charm, of the old Wabash site).
Carmichael's Chicago Steak House
312/433-0025
www.carmichaelsteakhouse.com
1052 W. Monroe St., Chicago
Chicago Chop House
312/787-7100
www.chicagochophouse.com
60 W. Ontario St., Chicago
David Burke's Primehouse
312/660-6000
www.brguestrestaurants.com/restaurants/primehouse
James Hotel, 616 N. Rush St., Chicago
Gene and Georgetti
312/527-3718
www.geneandgeorgetti.com
500 Franklin St., Chicago
Harry Caray's
312/828-0966
www.harrycarays.com
33 W. Kinzie St., Chicago
Lawry's the Prime Rib
312/787-5000
www.lawrysonline.com
100 E. Ontario St., Chicago
Myron & Phil
847/677-6663
www.myronandphils.com
3900 W. Devon Ave., Lincolnwood
Ronny's Original Chicago Steak House
312/346-9488
100 W. Randolph St. (State & Lake), Chicago
Stetson's Steak & Chop House
312/565-1234
www.stetsonschophouse.com
Hyatt Regency Chicago, 151 E. Wacker Drive, Chicago
Weber Grill Restaurant
312/467-9696
www.webergrillrestaurant.com
539 N. State St., Chicago