Here's a bunch of alternative mysteries I have come up with over the years. Most of them are Scriptural, although a few of them come from the Deuterocanon. I usually go through and read the passage first, to get the context in my mind and what was going on in the passage, before meditating on the mystery. I post these specifically for you, so I hope you find them helpful.
ANGEL MYSTERIES:
1. The Scribe and the Six Warriors (Ezek. 9:1)
2. Michael, Battler of Evil (Dan. 10:13, Dan. 12:1, Rev. 12:7)
3. The Two Men at Jesus' Tomb (Luke 24:1)
4. The Angel Frees Peter From Prison (Acts 12:1)
5. "I am Gabriel" (Luke 1:19); "I am Raphael" (Tobit 12:15)
RESURRECTION MYSTERIES:
1. Elijah raises the widow's son (1 Kings 17:17)
2. Elisha raises the son of the Shunammite (2 Kings 4:8)
3. God heals King Hezekiah (2 Kings 20:7)
4. Jesus raises the son of the Widow of Nain (Luke 7:11)
5. Jesus raises Lazarus (John 11:1)
EUCHARISTIC MYSTERIES:
1. Manna in the wilderness (Exod. 16:4)
2. Water into Wine at Cana (John 2:1)
3. The Loaves and Fishes (John 6:1)
4. The Last Supper (Mark 14:22)
5. Jesus is recognized in the breaking of the bread at Emmaus (Luke 24:28)
MIRACULOUS MYSTERIES:
1. Elisha cures Naaman's leprosy (2 Kings 5:1)
2. The ravens feed Elijah (1 Kings 17:1)
3. Jesus cures the Gadarene demoniac (Mark 5:1)
4. Jesus calms the storm (Matt 8:23)
5. Jesus heals the two blind men (Matt 9:27)
RESURRECTION MYSTERIES:
1. Jesus appears to Mary Magdalene (John 20:11)
2. The Road to Emmaus (Luke 24:13)
3. Jesus heals Thomas's doubt (John 20:24)
4. Jesus reinstates Peter (John 21:15)
5. Paul on the road to Damascus (Acts 9:1)
POWER OF GOD MYSTERIES:
1. Creation (Gen. 1)
2. Parting of the Red Sea (Ex. 14:21)
3. The sun stands still (Joshua 10:12)
4. Elisha and the prophets of Baal (1 Kings 18)
5. Destruction of Sennacherib's army (2 Kings 19)
FAITH MYSTERIES:
1. Abraham's sacrifice of Isaac (Gen. 22)
2. David slays Goliath (1 Sam. 17)
3. Joseph accepts Mary's vocation (Matthew 1:20)
4. The woman touches Jesus' garment (Matt 9:20)
5. Peter walks on water (Matt 14:22)
HEALING MYSTERIES:
1. The paralyzed man lowered through the roof (Mark 2:1)
2. The man with the withered hand (Mark 3:1)
3. Jesus heals ten lepers (Luke 17:11)
4. Jesus heals the centurion's servant (Matt 8:5)
5. Jesus heals the man born blind (John 9:1)
COMFORT MYSTERIES:
1. Psalm 46 (God is our refuge and strength....)
2. Psalm 121 (I will lift up my eyes to the hills....)
3. Isaiah 54 (Sing, o barren....)
4. John 14 (Let not your heart be troubled....)
5. Revelation 21 (God shall wipe away all tears....)
MYSTERIES OF JESUS' HIDDEN LIFE:
1. Jesus submits to Mary and Joseph (Luke 2:51)
2. Jesus works with Jospeh as a carpenter (Mark 6:3)
3. Jesus with His extended family (Mark 6:6)
4. The Death of St. Joseph (Sacred Tradition)
5. Jesus enlarges His family (Matt 12:46)
JESUS' MINISTRY TO WOMEN:
1. The womn who touches His garment (Matt 9:20)
2. Jesus raises Jairus' daughter (Mark 5:21)
3. Jesus raises the widow's son (Luke 7:11)
4. Jesus forgives the adulteress (John 8:3)
5. Jesus pardons the sinful woman (Luke 7:36)
JESUS AT THE TABLE:
1. At Matthew the tax collector's (Matt 9:9)
2. At Simon Peter's (Luke 7:36)
3. At Martha's (Luke 10:38)
4. At Bethany (John 12:1)
5. By the sea (John 12:1)
There you go.
I realize some of these don't exactly fit the categories they're in; so if they bug you, insert something that works better for you. I wouldn't get too hung up about the legalistic aspect of the Rosary, by the way; as long as you're meditating on holy things, you're doing what you're supposed to do. It's a meditative prayer, and it really doesn't matter if you're meditating on the Joyful Mysteries, or one of these above, or something else.....in fact, when I'm in the car and have come up dry for ideas to meditate on, I have been known to do a decade based on the lyrics of "Good King Wenceslaus", one of my favorite Christmas carols:
1. Good King Wenceslaus looked out, on the Feast of Stephen, when the snow lay round about, deep and thick and even.
2. Brightly shone the moon that night, though the frost was cruel; when a poor man came in sight, gathering winter fuel.
3. "Hither, page, and stand by me, if thou knowest it telling---yonder peasant: who is he? Where and what his dwelling?"
4. "Sire, he lives a good league hence, underneath the mountain; right against the forest fence, by St. Agnes' fountain."
5. "Bring me meat and bring me wine, bring me pine logs hither; thou and I shall see him dine, when we bear them thither."
6. Page and monarch, forth they went, forth they went together; through the rude wind's wild lament, and the bitter weather.
7. "Sire, the night grows darker now, and the wind grows stronger; fails my heart I know not how---I can go no longer."
8. "Mind my footsteps, my good page, tread thou in them boldly; thou shalt find the winter's rage freeze thy blood less coldly."
9. In his master's steps he trod, where the snow lay dinted; heat was in the very sod which the saint had printed.
10. Therefore Christian men, be sure, rank or wealth possessing: ye who now that bless the poor, shall yourselves find blessing.
(St. Wenceslaus was a cool guy; he was the king of Bohemia, and actually loved and cared for his people, even the peasants, which was pretty unusual for the 10th century. I think this carol brings that out admirably.)
Now that I think about it, I should sit down and do a bunch of mysteries based on the lives of saints. In fact, as a coda to this post, here's a set for St. Francis of Assisi, composed by me, even as I sit here right now:
1. Christ on the Cross speaks to Francis: "Repair My Church".
2. Francis rebuilds the Church of San Damiano.
3. Francis returns his father's money and clothes, and is recieved naked by the Bishop of Assisi.
4. Francis attracts the little brothers.
5. Francis goes to see the Pope.
6. Francis preaches to the birds.
7. Francis receives Sister Claire.
8. Francis reproves the Wolf of Gubbio.
9. Francis recieves the stigmata.
10. Francis explains Christ to the Sultan of Egypt.
There you go, Joe. This ought to keep you busy for quite a while.
God bless,
---Wols.