Play as Sonic (recommended), Miles, or Knuckles. Go to Zone 1 Act 1 and go to the area where the first loop is located. Stand on the sliver of land, then charge a Spin Dash for twenty seconds. Dash to the right and hold
Down/Right. You will go down the hill (not getting all the rings). Eventually, you will go so fast that you will leave the screen. Sometimes it does not launch you off the cliff at the end.
Choose Amy, then go to Zone 1 Act 1. Go to the spring that is in front of the first loop. Stand in front of the spring, then do the Hammer Jump. If done correctly, you should go very high.