In chronological order, from the oldest to the youngest:
Golden Gate: 1905 (originally the Hotel Nevada, then the Sal Sagev, which is Las Vegas spelled backwards, finally the Golden Gate, which opened in 1955 in the original building).
Binion’s: 1935 (originally the Apache Club and the Eldorado Casino, which Benny Binion bought and merged in 1951 to open the Horseshoe).
El Cortez: 1941 (the original wing, at the corner of Fremont and 6th, still stands; it’s the oldest original casino building in Las Vegas -- and therefore the country).
Frontier: 1942 (originally the Last Frontier; then the New Frontier completely replaced it in 1955; then the Frontier replaced that in 1967).
Golden Nugget: 1946
Flamingo: 1946
Sahara: 1952
Riviera: 1955
Fremont: 1956
Tropicana: 1957
Lady Luck: 1964
Four Queens: 1965
Caesars Palace: 1966
Circus Circus: 1968
International: 1969 (now Las Vegas Hilton)
Union (now the Plaza): 1970
MGM Grand: 1973 (now Bally’s)
Holiday Inn: 1972 (now Harrah’s)
Continental: 1975 (now Terrible’s)
California: 1975
Bingo Palace (now Palace Station): 1976
Maxim (now Westin Casuarina): 1977
Park: 1977 (now Main Street Station)
Sam’s Town: 1979
Barbary Coast: 1979
Imperial Palace: 1979
Slots-A-Fun: 1979
Vegas World (now Stratosphere): 1979
Sundance: 1980 (now Fitzgeralds)
Paddlewheel (now Greek Isles): 1986
Gold Coast: 1986
Arizona Charlie’s Decatur: 1988
San Remo: 1989
Mirage: 1989
Rio: 1990
Excalibur: 1990
Santa Fe: 1990
Luxor: 1993
Treasure Island: 1993
MGM Grand: 1993
Fiesta: 1994 (now Fiesta Rancho)
Boomtown: 1995 (now Silverton)
Boulder Station: 1995
Hard Rock: 1995
Texas Station: 1995
Monte Carlo: 1996
Orleans: 1996
New York-New York: 1997
Ellis Island: 1997
Sunset Station: 1997
Reserve: 1998 (now Fiesta Henderson)
Bellagio: 1998
Mandalay Bay/Four Seasons: 1999
Venetian: 1999
Resort at Summerlin: 1999 (now Rampart)
Paris: 1999
Hyatt at Lake Las Vegas: 1999
Suncoast: 2000
Palms: 2001
Green Valley Ranch: 2001
Casino MonteLago: 2003
Cannery: 2003
Tuscany: 2003
Wynn Las Vegas: 2005