88 Miles per Hour
Travel through time
Really simple just start off the first level and find yourself a past sign and build up enough speed to travel and the trophy should pop up.
Just one hug is enough
Get a hug from Amy
There are two ways to get this trophy: Either by playing Palmtree Panic, while in the present and from around the end point you should see her and allow her to hug. The second opportunity is after defeating Metal Sonic in Stardust Speedway. You should see Amy tied up on a pole; simply free her and the trophy is yours.
Complete a zone in the Good Future
As the trophy titles says just go to the past on a level and destroy one of the machines located in the level.
Take the High Road
Pass the upper Signpost in Collision Chaos Zone 2
Simply take the upper part of the level and the trophy is yours. Here is a video guide to show you.
King of the Rings
Collect 200 Rings
While looking for the statue in Wacky Workbench. Take advantage of it by giving yourself plenty of rings till you reach 200 rings. Here is a video guide to show you how to collect 200 rings and the statue.
Find the angel statue in Wacky Workbench
See King of the rings
Defeat Metal Sonic without getting hurt
This trophy is probably the hardest in the game as you have to race Metal Sonic and avoid the trap obstacles. My advice is to study the road a bit until you know every trap and shortcut. Here's a video playthrough if you are having a tough time.
All Stages Clear!
Finish the game
Just beat the game and the trophy will unlock.
Collect all the Time Stones
For this one you will need to acquire 50 rings or above and jump at a giant ring near the end of the level. I recommend doing this for the second playthrough once you're used to the levels a bit more. Here is a video guide provided by 1Playstationworld
to help through.
Dr. Eggman Got Served
Destroy Dr. Eggman's final machine
Simply beat the last boss in the game and the trophy will unlock.
Just in Time!
Complete the Time Attack mode in under 25 minutes
Once you have beaten the game your are free to play all the levels in Time Attack mode. The goal is to beat all the stages the fastest way possible. It's really simple but a bit time consuming to pull off, but an easy trophy.
Saviour of the Planet
Destroy all the robot teleporters and Metal Sonic holograms in the past
Most likely the 2nd hardest trophy in the game. This trophy is best to be taken out of the way on your first playthrough in order enjoy a smoother game later on. What you have to do is simply go back to the past of every level except Zone 3 and destroy the Robot teleporters and Metal Sonic Holograms. A quick video guide should make it more simple to get. Also note when playing in Metalic Madness you don't have to find the Metal Sonic Holograms.