Let's see - the likely songs from the 9 albums:
IM:
Iron Maiden (ofc),
Phantom (in the promo video)
Running Free (also in the promo video, the alley)
other potential songs: Prowler (popular), Sanctuary, Remember Tomorrow (played in 2005).
Killers:
Wrathchild
Killers (given the new old Eddie on the poster)
other potential songs: Murders (Nicko played it with his solo band recently) and Prodigal Son (rehearsed in 2005).
TNOTB:
Number Of The Beast
Hallowed
Run To The Hills (the name of the tour)
other potential songs: 22 Acacia Avenue, but I doubt it because of the drumming. And a song like Children was played recently.
POM:
Trooper
other potential songs: Die With Your Boots On (because it wasn't featured in the previous 2 History tours) and Sun And Steel (was rumored that it would have been played during a proper SJ tour, if there were).
PS:
Rime (Bruce's favorite song to play live)
2 Minutes
other potential songs: Powerslave.
SIT:
Alexander is the only potential song.
SSOASS:
Clairvoyant (if nothing, it was in the 2018 tour poster hints)
Seventh Son (Bruce said recently he wants to play it live again)
Evil That Men Do
other potential songs: Moonchild (popular opener), Infinite Dreams (rehearsed in 2012) and Only The Good Die Young (Steve said he wants to play it live).
NPFTD:
Bring Your Daughter (played in 2003)
Tailgunner (played on 2 different tours and maybe there is a hint for it in the poster)
other potential songs: No Prayer For The Dying (I think it's time and will sound great), Hooks In You (the sky and the moon on the tour poster?).
FOTD:
Fear Of The Dark
Afraid To Shoot Strangers (played in 2012/2013)
other potential songs: Be Quick Or Be Dead (one of the most popular songs from its era, great opener), Wasting Love (played also in 1993).
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Potential deep cuts, overall:
Prowler
Remember Tomorrow
Murders
Killers
Prodigal Son
22 Acacia Avenue
Die With Your Boots On
Still Life (popular deep cut, not played on the ME tour)
Sun And Steel
To Tame A Land (Nicko played it with his solo band in 2022)
Rime Of The Ancient Mariner
Infinite Dreams
Seventh Son Of A Seventh Son
Only The Good Die Young
Tailgunner
No Prayer For The Dying
Hooks In You
Bring Your Daughter... To The Slaughter
Be Quick Or Be Dead
From Here To Eternity (played also in 1993)
Wasting Love
The Fugitive (Steve wanted to play it in 1992)
Judas Be My Guide (popular deep cut)
-> 4-5 (or even 6) deep cuts would be the best. It's possible.