Here is the ‘American Film Institute’s 100 Years, 100 Movies’ list.

# MOVIE YEAR SEEN[✔]
1 CITIZEN KANE 1941 ✔
2 THE GODFATHER 1972 ✔
3 CASABLANCA 1942 ✔
4 RAGING BULL 1980 ✔
5 SINGIN’ IN THE RAIN 1952 ✔
6 GONE WITH THE WIND 1939 ✔
7 LAWRENCE OF ARABIA 1962 ✔
8 SCHINDLER’S LIST 1993
9 VERTIGO 1958
10 THE WIZARD OF OZ 1939 ✔
11 CITY LIGHTS 1931
12 THE SEARCHERS 1956
13 STAR WARS 1977
14 PSYCHO 1960 ✔
15 2001: A SPACE ODYSSEY 1968
16 SUNSET BLVD. 1950 ✔
17 THE GRADUATE 1967
18 THE GENERAL 1927
19 ON THE WATERFRONT 1954 ✔
20 IT’S A WONDERFUL LIFE 1946 ✔
21 CHINATOWN 1974  ✔
22 SOME LIKE IT HOT 1959 ✔
23 THE GRAPES OF WRATH 1940
24 E.T. THE EXTRA-TERRESTRIAL 1982
25 TO KILL A MOCKINGBIRD 1962
26 MR. SMITH GOES TO WASHINGTON 1939
27 HIGH NOON 1952
28 ALL ABOUT EVE 1950
29 DOUBLE INDEMNITY 1944  ✔
30 APOCALYPSE NOW 1979
31 THE MALTESE FALCON 1941 ✔
32 THE GODFATHER PART II 1974
33 ONE FLEW OVER THE CUCKOO’S NEST 1975
34 SNOW WHITE AND THE SEVEN DWARFS 1937
35 ANNIE HALL 1977
36 THE BRIDGE ON THE RIVER KWAI 1957
37 THE BEST YEARS OF OUR LIVES 1946
38 THE TREASURE OF THE SIERRA MADRE 1948
39 DR. STRANGELOVE 1964  ✔
40 THE SOUND OF MUSIC 1965  ✔
41 KING KONG 1933
42 BONNIE AND CLYDE 1967  ✔
43 MIDNIGHT COWBOY 1969
44 THE PHILADELPHIA STORY 1940 ✔
45 SHANE 1953
46 IT HAPPENED ONE NIGHT 1934
47 A STREETCAR NAMED DESIRE 1951
48 REAR WINDOW 1954
49 INTOLERANCE 1916
50 THE LORD OF THE RINGS: THE FELLOWSHIP OF THE RING 2001 ✔
51 WEST SIDE STORY 1961 ✔
52 TAXI DRIVER 1976 ✔
53 THE DEER HUNTER 1978
54 M*A*S*H 1970
55 NORTH BY NORTHWEST 1959 ✔
56 JAWS 1975 ✔
57 ROCKY 1976
58 THE GOLD RUSH 1925
59 NASHVILLE 1975
60 DUCK SOUP 1933 ✔
61 SULLIVAN’S TRAVELS 1941
62 AMERICAN GRAFFITI 1973
63 CABARET 1972
64 NETWORK 1976 ✔
65 THE AFRICAN QUEEN 1951 ✔
66 RAIDERS OF THE LOST ARK 1981 ✔
67 WHO’S AFRAID OF VIRGINIA WOOLF? 1966
68 UNFORGIVEN 1992  ✔
69 TOOTSIE 1982  ✔
70 A CLOCKWORK ORANGE 1971 ✔
71 SAVING PRIVATE RYAN 1998 ✔
72 THE SHAWSHANK REDEMPTION 1994 ✔
73 BUTCH CASSIDY AND THE SUNDANCE KID 1969
74 THE SILENCE OF THE LAMBS 1991 ✔
75 IN THE HEAT OF THE NIGHT 1967
76 FORREST GUMP 1994 ✔
77 ALL THE PRESIDENT’S MEN 1976
78 MODERN TIMES 1936
79 THE WILD BUNCH 1969
80 THE APARTMENT 1960
81 SPARTACUS 1960
82 SUNRISE 1927
83 TITANIC 1997 ✔
84 EASY RIDER 1969
85 A NIGHT AT THE OPERA 1935 ✔
86 PLATOON 1986
87 12 ANGRY MEN 1957 ✔
88 BRINGING UP BABY 1938 ✔
89 THE SIXTH SENSE 1999 ✔
90 SWING TIME 1936  ✔
91 SOPHIE’S CHOICE 1982
92 GOODFELLAS 1990 ✔
93 THE FRENCH CONNECTION 1971
94 PULP FICTION 1994 ✔
95 THE LAST PICTURE SHOW 1971
96 DO THE RIGHT THING 1989
97 BLADE RUNNER 1982 ✔
98 YANKEE DOODLE DANDY 1942
99 TOY STORY 1995 ✔
100 BEN-HUR 1959

There are 22 films from the original 1997 list that do not appear on the 2007 list:

1997 # MOVIE YEAR SEEN[✔]
44 BIRTH OF A NATION, THE 1915
52 FROM HERE TO ETERNITY 1953
53 AMADEUS 1984 ✔
54 ALL QUIET ON THE WESTERN FRONT 1930
57 THIRD MAN, THE 1949
58 FANTASIA 1940 ✔
59 REBEL WITHOUT A CAUSE 1955 ✔
63 STAGECOACH 1939
64 CLOSE ENCOUNTERS OF THE THIRD KIND 1977
67 MANCHURIAN CANDIDATE, THE 1962
68 AMERICAN IN PARIS, AN 1951
73 WUTHERING HEIGHTS 1939
75 DANCES WITH WOLVES 1990
82 GIANT 1956
84 FARGO 1996
86 MUTINY ON THE BOUNTY 1935
87 FRANKENSTEIN 1931
89 PATTON 1970
90 JAZZ SINGER, THE 1927
91 MY FAIR LADY 1964 ✔
92 PLACE IN THE SUN, A 1951
99 GUESS WHO’S COMING TO DINNER 1967

There are a total of 122 films on this list.  As of the most recent update (September 13, 2012) I have seen 50 films or 40% completion