Right. Some sites online, such as the NCAA's site, will credit LSU with 1908 while some, such as College Football Data Warehouse will not. Even LSU's site doesn't really glorify it that much, merely mentioning it as an undefeated season. I'm not really sure why though. Teams such as Alabama and Michigan claim more championships than many unbiased sites give them credit for.
This info comes from LSUsports.net I added this years SEC BB Championships to the number. National Team Championships (43) Men's Basketball (1) 1935 Boxing (1) 1949 Football (2) 1958, 2003 Men's Golf (4) 1940, 1942, 1947, 1955 Men's Indoor Track (2) 2001, 2004 Women's Indoor Track (11) 1987, 1989, 1991, 1993, 1994, 1995, 1996, 1997, 2002, 2003, 2004 Men's Outdoor Track (4) 1933, 1989, 1990, 2002 Women's Outdoor Track (13) 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996,1997, 2000, 2003 Baseball (5) 1991, 1993, 1996, 1997, 2000 SEC Team Championships (108) Baseball (13) 1939, 1943, 1946, 1961, 1975, 1986, 1990, 1991, 1992, 1993, 1996, 1997, 2003 Men's Basketball (8) 1935, 1953, 1954, 1979, 1981, 1985, 1991, 2000, 2006 Women's Basketball (1) 2005, 2006 Football (9) 1935, 1936, 1958, 1961, 1970, 1986, 1988, 2001, 2003 Men's Golf (15) 1937, 1938, 1939, 1940, 1942, 1946, 1947, 1948, 1953, 1954, 1960, 1966, 1967, 1986, 1987 Women's Golf (1) 1992 Gymnastics (1) 1981 Men's Swimming (1) 1988 Men's Tennis (4) 1976, 1985, 1998, 1999 Men's Indoor Track (4) 1957, 1963, 1989, 1990 Women's Indoor Track (10) 1985, 1987, 1988, 1989, 1991, 1993, 1995, 1996, 1998, 1999 Men's Outdoor Track (22) 1933, 1934, 1935, 1936, 1938, 1939, 1940, 1941, 1942, 1943, 1946, 1947, 1948, 1951, 1957, 1958, 1959, 1960, 1963, 1988, 1989, 1990 Women's Outdoor Track (8) 1985, 1987, 1988, 1989, 1990, 1991, 1993, 1996 Softball (5) 1999, 2000, 2001, 2002, 2004 Volleyball (4) 1986, 1989, 1990, 1991
