Greece & Rome on the 501 List

There's a number of books on the list pertaining to Greece/Rome that I've been troubling to sort out the best sequential reading of. I haven't entirely followed this sequence, but my recommended reading order is:

The Iliad, by Homer (Classics)
The Odyssey by Homer (NOT a 501 title)
The Histories, by Herodotus (History)
The History of the Peloponnesian War, by Thucydides (NOT a 501 title)
The Trial of Socrates, by Isador Stone (History)
Lives, by Plutarch (History)
The Annals of Rome, by Tacitus (History)
Daily Life in Ancient Rome, by Jerome Carpopino (History)
I, Claudius by Robert Graves (NOT a 501 title)
Letters, by Pliny the Younger (Memoirs)
The Twelve Caesars by Suetonius (NOT a 501 title)
Memoirs of Hadrian, by Marguerite Yourcenar (Modern Fiction)
Meditations by Marcus Aurelius (NOT a 501 title)
The Decline and Fall of the Roman Empire, by Edward Gibbon (History)

Pliny's work actually takes place before most of Hadrian's story (he exchanges several letters with Trajan, Hadrian's immediate predecessor), but I'm in the middle of reading Hadrian now and I think I'll be better informed for tackling Pliny later.

I'm expecting to skip Socrates, and Daily Life, at least for now, but I've a plan to tackle the rest.

I've been eyeing I, Claudius by Robert Graves. It's not in the 501 list but I'd like to insert it somewhere in the sequence. I think it should come either before or after Carpopino.

Never did find the Carpopino so I skipped him. Read the Graves last year, Pliny this year, adding Suetorius' Twelve Caesars to read in 2023, then Gibbon is in '24.

Oops, missed The Trial of Socrates too, I've been very Rome focused. Also read some Colleen McCullough historical fiction set in the Republic era.

Edited my list in the first post to add some non-501 titles I think would fit well. I read both Homers as indicated, skipped Thucydides (but might circle back some day), and I'm currently reading Suetonius. I'll tackle an abridged version of Gibbon next year, having already read Yourcenar.