After the Lutheran and Catholic canons were defined by Luther (c. 1534) and Trent (8 April 1546) respectively, early Protestant editions of the Bible (notably the Luther Bible in German and 1611 King James Version in English) did not omit these books, but placed them in a separate Apocrypha section apart from the Old ...
Modern editions[edit]
All King James Bibles published before 1666 included the Apocrypha,[36] though separately to denote them as not equal to Scripture proper, as noted by Jerome in the Vulgate, to which he gave the name, "The Apocrypha."[37] In 1826,[38] the National Bible Society of Scotland petitioned the British and Foreign Bible Society not to print the Apocrypha,[39] resulting in a decision that no BFBS funds were to pay for printing any Apocryphal books anywhere. Since that time most modern editions of the Bible and reprintings of the King James Bible omit the Apocrypha section. Modern non-Catholic reprintings of the Clementine Vulgate commonly omit the Apocrypha section. Many reprintings of older versions of the Bible now omit the apocrypha and many newer translations and revisions have never included them at all.
There are some exceptions to this trend, however. Some editions of the Revised Standard Version and the New Revised Standard Version of the Bible include not only the Apocrypha listed above, but also the third and fourth books of Maccabees, and Psalm 151.
The American Bible Society lifted restrictions on the publication of Bibles with the Apocrypha in 1964. The British and Foreign Bible Society followed in 1966.[40] The Stuttgart edition of the Vulgate (the printed edition, not most of the on-line editions), which is published by the UBS, contains the Clementine Apocrypha as well as the Epistle to the Laodiceans and Psalm 151.
Brenton's edition of the Septuagint includes all of the Apocrypha found in the King James Bible with the exception of 2 Esdras, which was not in the Septuagint and is no longer extant in Greek.[41] He places them in a separate section at the end of his Old Testament, following English tradition.
https://en.wikipedia.org/wiki/Biblical_apocrypha
So it appears in 1826 that the Apocrypha was started to be removed from protestant bibles.
and this site states 1881 as a major date of its being removed;
http://rockingodshouse.com/why-were-14-books-apocrypha-removed-from-the-bible-in-1881/