Here is the full list of all 10 Last Message achievements.
Finish the game in under 10 minutes
Read the last message you will ever read from Josh
Send Oli a picture of you
Have an uninvited guest enter your apartment
Send a screwdriver to Oli
Read magazine in Lobby
Read at least 2 emails
Clean up 3 items
Visit at least 3 peoples people pages
Arrive home safely