Here is the full list of all 12 Daytona USA achievements worth 200 gamerscore. It takes around 1-2 hours to unlock all of the achievements on Xbox 360.
Win a BEGINNER Course in ARCADE Mode (any difficulty level is ok).
Win an ADVANCED Course in ARCADE Mode (any difficulty level is ok).
Win an EXPERT Course in ARCADE Mode (any difficulty level is ok).
On a BEGINNER Course of ARCADE Mode press "Special" in front of the Slots to stop the 3 reels.
Find the hidden sign at the dead end in ADVANCED Course of ARCADE MODE.
On an EXPERT Course of ARCADE Mode, upend the Jeffry statue by repeatedly pressing "Special".
Repair damage in the Pit during Arcade Mode.
Upload your record to the Time Trial Mode leaderboard.
Clear a challenge in CHALLENGE Mode.
Log over 5000 in SURVIVAL Mode.
Play KARAOKE Mode until the end.
Hit the sign or road cone 100 times. (no. of hits is the cumulative total)