NeoArkadia
Yes, to many of your disappointment, Rank-Up-Magic Barian's Force is indeed the common reprint for both tins.
The Redox, Dragon Ruler of Boulders Tin includes:
2 Packs of "Cosmo Blazer"
2 Packs of "Lord of the Tachyon Galaxy"
1 Pack of "Number Hunters"
1 Secret Rare version of "Redox, Dragon Ruler of Boulders"
1 Super Rare version of "Diamond Dire Wolf"
1 Super Rare version of "Number 88: Gimmick Puppet of Leo"
1 Super Rare version of "Spellbook of the Master"
1 Super Rare version of "Rank-Up-Magic Barian's Force"
The Tempest, Dragon Ruler of Storms Tin includes:
2 Packs of "Cosmo Blazer"
2 Packs of "Lord of the Tachyon Galaxy"
1 Pack of "Number Hunters"
1 Secret Rare version of "Tempest, Dragon Ruler of Storms"
1 Super Rare version of "Thunder Sea Horse"
1 Super Rare version of "Gear Gigant X"
1 Super Rare version of "Number 40: Blackship of Corn"
1 Super Rare version of "Rank-Up-Magic Barian's Force"
Source: https://www.yugioh-card.com/en/products/tin-2013w2.html
The Redox, Dragon Ruler of Boulders Tin includes:
2 Packs of "Cosmo Blazer"
2 Packs of "Lord of the Tachyon Galaxy"
1 Pack of "Number Hunters"
1 Secret Rare version of "Redox, Dragon Ruler of Boulders"
1 Super Rare version of "Diamond Dire Wolf"
1 Super Rare version of "Number 88: Gimmick Puppet of Leo"
1 Super Rare version of "Spellbook of the Master"
1 Super Rare version of "Rank-Up-Magic Barian's Force"
The Tempest, Dragon Ruler of Storms Tin includes:
2 Packs of "Cosmo Blazer"
2 Packs of "Lord of the Tachyon Galaxy"
1 Pack of "Number Hunters"
1 Secret Rare version of "Tempest, Dragon Ruler of Storms"
1 Super Rare version of "Thunder Sea Horse"
1 Super Rare version of "Gear Gigant X"
1 Super Rare version of "Number 40: Blackship of Corn"
1 Super Rare version of "Rank-Up-Magic Barian's Force"
Source: https://www.yugioh-card.com/en/products/tin-2013w2.html