Stop vs Ring Toss vs Break
If target is affected by any of those status. Your to hit becomes 100%, even if BLINDED. Almost all debuffs also have 100% to hit. DOOM is one that does not.
Stop and Ring Toss put the target into STOP status.
Break gives the target STONE status.
The end result is the same if the spell hit. However, there are differences that may be important depending on the situation.
Stop and Break are magickal, Ring Toss is not. That means, target with REFLECT or similar status will not be hit by magickal spell but Ring Toss will still work.
Stop and Ring Toss can be neutralize with Haste or Slow, not Break.
Target could have equipment that is immume to STOP or STONE.
What about SLEEP?
Sleep is similar to STOP, except that, the target will be woken up if any action that is not beneficial is used against it. Stealing will wake the target up even no damage is done.
SLEEP may be more useful if you want the DOOM count down to work as SLEEP unit still appear on the turn-line.
