These three achievements/trophies are tied into finding and collecting each and every one of the collectibles in the game. We’ll need to gather all of the Diary pages and interact with each and every musical instrument throughout the campaign to unlock them all.
First Draft & Published
There are a grand total of 43 Diary pages scattered throughout the Metro and they appear as are small, flashing pieces of paper with scribbles on them. Collecting and reading these gives you a little extra back story into the Metro, current events and its inhabitants goings on. Collecting 10 of these will unlock the achievement/trophy 'First Draft' whilst obtaining all 43 will unlock the achievement/trophy 'Published'.
Note: You do not need to collect all 43 of these in a single playthrough as you can load up completed chapters from the main menu.
There are a total of 17 musical instuments that players will come across during their time in the Metro and they take a number of forms that include: Guitars, accordians and Pianos. They are objects in the environment that Artyom is able to interact with. Approaching and interacting with each will record it as used. Finding and using all 17 instruments will unlock the achievement/trophy 'Musician'.
Note that unlike the diary pages, loading chapters from the main menu to pick up any that you may have missed DOES NOT work! As such YOU MUST interact with all 17 musical instruments in a single playthrough in order to earn the achievement/trophy Musician.