INSERT INTO...SELECT for all MySQL columns

The correct syntax is described in the manual. Try this:

INSERT INTO this_table_archive (col1, col2, ..., coln)
SELECT col1, col2, ..., coln
FROM this_table
WHERE entry_date < '2011-01-01 00:00:00';

If the id columns is an auto-increment column and you already have some data in both tables then in some cases you may want to omit the id from the column list and generate new ids instead to avoid insert an id that already exists in the original table. If your target table is empty then this won't be an issue.

For the syntax, it looks like this (leave out the column list to implicitly mean "all")

INSERT INTO this_table_archive
SELECT *
FROM this_table
WHERE entry_date < '2011-01-01 00:00:00'

For avoiding primary key errors if you already have data in the archive table

INSERT INTO this_table_archive
SELECT t.*
FROM this_table t
LEFT JOIN this_table_archive a on a.id=t.id
WHERE t.entry_date < '2011-01-01 00:00:00'
  AND a.id is null  # does not yet exist in archive