Yes 1920, 1948 and 1976 calendars looked like 2032 and 2060
As 1948 is a leap year, its day and date combination do not repeat very often. It only happens every 28 years. Taking just the 20th and 21st centuries, these are the years that are the same as 1948: 1920, 1948, 1976, 2004, 2032, 2060 and 2088.
Since 1976, it only repeated in 2004 and will next repeat in 2032. It was a leap year and leap year calendars generally repeat every 28 years.
It would not be practical to do it from the beginning of calendars, so if we do it from the start the of the 20th century up to the end of the 21st century, these are the years when the 12th of July is a Monday. 1909 1915 1920 1926 1937 1943 1948 1954 1965 1971 1976 1982 1993 1999 2004 2010 2021 2027 2032 2038 2049 2055 2060 2066 2077 2083 2088 2094 2100
The 2004 to 2005 calendars will next repeat in 2032 to 2033.
1915, 1920, 1926, 1937, 1943, 1948, 1954, 1965, 1971, 1976, 1982, 1993, 1999, 2004, 2010, 2021, 2027, 2032, 2038, 2049, 2055, 2060, 2066, 2077, 2083, 2088, 2094, 2100.
Taking just the 20th and 21st centuries, the 1st of August is on a Sunday in 1909, 1915, 1920, 1926, 1937, 1943, 1948, 1954, 1965, 1971, 1976, 1982, 1993, 1999, 2004, 2010, 2021, 2027, 2032, 2038, 2049, 2055, 2060, 2066, 2077, 2083, 2088, 2094 and 2100.
Taking the 20th and 21st centuries, St. Valentine's Day is a Saturday in 1903, 1914, 1920, 1925, 1931, 1942, 1948, 1953, 1959, 1970, 1976, 1981, 1987, 1998, 2004, 2009, 2015, 2026, 2032, 2037, 2043, 2054, 2060, 2065, 2071, 2082, 2088, 2093 and 2099.
Taking just the 20th and 21st centuries, the 23rd of September is on a Thursday in 1909, 1915, 1920, 1926, 1937, 1943, 1948, 1954, 1965, 1971, 1976, 1982, 1993, 1999, 2004, 2010, 2021, 2027, 2032, 2038, 2049, 2055, 2060, 2066, 2077, 2083, 2088, 2094 and 2100.
1897, 1909, 1915, 1920, 1926, 1937, 1943, 1948, 1954, 1965, 1971, 1976, 1982, 1993, 1999, 2004, 2010, 2021, 2027, 2032, 2038, 2049, 2055, 2060, 2066, 2077, 2083, 2088, 2094, 2100, 2106, 2117, 2123, 2128, 2134, etc.
Taking just the 20th and 21st centuries, the 28th of August is on a Saturday in 1909, 1915, 1920, 1926, 1937, 1943, 1948, 1954, 1965, 1971, 1976, 1982, 1993, 1999, 2004, 2010, 2021, 2027, 2032, 2038, 2049, 2055, 2060, 2066, 2077, 2083, 2088, 2094 and 2100.
Taking just the 20th and 21st centuries, the 24th of May is a Monday in 1909, 1915, 1920, 1926, 1937, 1943, 1948, 1954, 1965, 1971, 1976, 1982, 1993, 1999, 2004, 2010, 2021, 2027, 2032, 2038, 2049, 2055, 2060, 2066, 2077, 2083, 2088, 2094 and 2100.
Taking just the 20th and 21st centuries, the 1st of February is on a Sunday in 1903, 1914, 1920, 1925, 1931, 1942, 1948, 1953, 1959, 1970, 1976, 1981, 1987, 1998, 2004, 2009, 2015, 2026, 2032, 2037, 2043, 2054, 2060, 2065, 2071, 2082, 2088, 2093 and 2099.