1. Allah (Subhanahu wa Ta'ala) accepted the repentance of Adam ('Alaihis-Salaam) after his exile from Paradise;
2. Allah (Subhanahu wa Ta'ala) saved Noah ('Alaihis-Salaam) and his companions in the ark;
3. Allah extinguished the fire in which Abraham ('Alaihis-Salaam) was thrown by Nimrod;
4. And Allah (Subhanahu wa Ta'ala) spoke directly to Moses ('Alaihis-Salaam) and gave him the Commandments.
5. Ahab ('Alaihis-Salaam) was restored to health (from leprosy);
6. Joseph ('Alaihis-Salaam) was reunited with his father Jacob ('Alaihis-Salaam), whose sight was restored from blindness;
7. Jonah ('Alaihis-Salaam) was taken out from the belly of the fish;
8. the sea was divided as the nation of israel led by Moses ('Alaihis-Salaam) was delivered from captivity and Pharoah’s army was destroyed.
9. the kingdom of Solomon ('Alaihis-Salaam) was restored to him after he lost it;
10. Jesus ('Alaihis-Salaam) was raised to heaven.
Now, Ashura is commemorated with a great deal of significance amongst the Shi'a Muslims.
So, if you are a follower of the Ahlussunnah wal Jama'ah (Sunni for short), you would do well just to note the above list and not get yourself involved in any other acts, as they would be forbidden to you as bid'ah.
The Shi'a have their own reasons and basis for what they do, and these would not be compatible with the beliefs of the Sunnis, so if you are Sunni, beware, but be respectful and let the Shi'a have their way.
God knows best, and God is the best of Judges.