Here is the full list of all 11 Travel Riddles: Trip To Italy achievements.
Complete all levels in the Sicilia Episode
Complete all levels in the Pompeii Episode
Complete all levels in the Naples Episode
Complete all levels in the Milano Episode
Complete all levels in the Venice Episode
Complete all levels in the Tuscany Episode
Complete all levels in the Rome Episode
Complete the first tutorial level
Match 5 pieces in one combination
Match 6 pieces in one combination
Match 4 pieces in one combination