That Nero is great - a 3d scene which shows a ships stern behind the gods.
Nero (54 - 68) AE Sestertius, Lyons, 65 AD.
NERO CLAVD CAESAR AVG GER PM TR P IMP P, laureate head left,
globe at point of bust
ANNONA AVGVSTI CERES, SC in ex. Ceres on right, veiled and
draped, seated left, holding corn-ears and torch, feet on
stool, facing Annona, draped, standing right, resting right
hand on hip and holding cornucopiae in left; modius on
garlanded altar between them; ship's stern behind.
RIC 389; cf Sear 1952; WCN 404.
The Caligula is an odd one, in that the wildwinds picture for the III variant is a picture of the IIII variant. I think this is the III variant.
Gaius Caligula. 37-41 BC. Æ As. Struck 40-41 AD. Bare
head left / Vesta seated left, holding patera and transverse
sceptre. RIC I 54; BMCRE 72. Near VF, brown patina, porous.
712346
( Gaius Caligula AE As. Struck 39-40 AD. C CAESAR DIVI AVG PRON AVG P M TR P III P P, bare head left / VESTA above, S C across field, Vesta seated left, holding patera and sceptre. Cohen 28. )
The Gordian:
Yours is an obverse die match with the wildwinds example, nice. I'm not sure about the cuirass being there thoughh.

(sold for $86)
Gordian III, Æ sestertius, (22.36g) IMP GORDIANVS PIVS FEL AVG Laureate,
draped and cuirassed bust right. / MARS PROPVGNAT Mars advancing right, S C
at sides. RIC 332a; sear5 #8718.
Hadrian:
Usually such a worn coin would not be pinned down, but this was only issued in a small quantity, and this is RIC 616 / sear5 #3688. Theres loads of variables for this issue, but not enough survives to pin it down further. Process of elimination puts it as RIC 616c or 616v1. Wildwinds does not show 616b, but it could be that - I dont have the reference to check.