Here is the full list of all 18 First Time in Rome achievements.
Finish Chapter 1
Finish Chapter 14
Complete Collector's Edition
Finish 10 Subgames without using Hint
Finish a scene in 180 seconds
Finish a scene in 360 seconds
Finish a scene in 90 seconds
Find all Rome Trivia
Pair off 15 Interactive Pairs
Complete a Picture Game Mode
Complete a No Vowels Game Mode
Complete a Pairs Game Mode
Complete a Riddle Game Mode
Complete a Scramble Game Mode
Complete a Silhouette Game Mode
Play Unlimited Mode for the first time.
Unlock 20 Mini HOs
Solve 10 Mini Subgames