you still need a table (your_table) containing a list of dates

Oh, I think I get it now (re-reading the original question). You don't have any data? You don't have, for instance, a table already with a date column, and need to extract the records which match your criteria, you just want to use MySQL to create the list? I'm puzzled as to why you want to use MySQL to do this, when you could do it with a date and time module.

It would be trivial to generate a table in MySQL which includes every date from 1900 to 2100.

Create the table with one column for the date, put 1900-01-01 into a var, insert that date into your table as a record, use MySQL's function to add one day to that date, lather, rinse, repeat until date == 2100-12-31.