Lets see your Roman coins that have one or more busts on both sides of the coin

This one is notable because the emperor is portrayed so much smaller than the deity. This seems like a case for the provinces having fairly free rein over the designs, as if this province is saying "Yeah, okay, Trajan is emperor but Astarte is more important to us". I don't think any Imperial issues feature deity and emperor on one side with the deity rating more space than emperor.

PHOENICIA, Arados
Trajan. CE 98-117
CY 375 (CE 116/7)
Æ22, 9.65 g
Obv: draped bust of Astarte-Europa right; before, small laureate and draped bust of Trajan
Rev: bull charging left
Ref: SNG Copenhagen 81; BMC 374

The next coin is a very popular type. Nemausus was a retirement community of sorts, founded as a settlement for veteran troops who had served in the armies of Octavian and Agrippa. The crocodile on the reverse is a reference to the conquest of Egypt.
Back-to-back busts:

Augustus & Agrippa
struck c. 10 BCE - CE 10, Nemausus
AE dupondius
Obv: IMP/DIVI F, back-to-back heads of Agrippa, in combined rostral crown & laurel wreath, and Augustus, laureate
Rev: COL - NEM; palm tree, top bent top right with a wreath above; crocodile chained to palm tree
Ref: RIC 158; AMC 425; Cohen 10; RPC 524
From the collection of a Man of the Cloth, now giving up the pursuit; acquired in the 1990s

"Conjoined" oops, I meant "jugate" portraiture:

SYRIA, Laodicea ad Mare. Septimius Severus & Julia Domna
CE 193-211
Æ, 31 mm 18.8 gm
Obv: jugate draped busts right of Septimius Severus, radiate and cuirassed and Julia Domna, set on crescent; countermarks: 1) C(AΓ) within rectangular incuse; 2) COL within rectangular incuse
Rev: Marsyas standing left, right hand raised, holding wineskin over his left shoulder
Ref: SNG Righetti 2114; Howgego 581 and 586
Ex E.E. Clain-Stefanelli collection

"Confronted" portaiture:

PHRYGIA, Kibyra. Domitian & Domitia
81-96 AD
AE 24 mm, 6.9 gm
Obv: ΔOMITIANOC KAICAP ΔOMITIA CEBACTE, laureate head of Domitian and Domitia facing one another
Rev: EΠI APXIEPEΩC KΛAV BAINTOC KI BY; Zeus seated left, holding out hand and sceptre
Ref: RPC 1262; Sear-896, SNG Aulock-3731


MOESIA INFERIOR, Marcianopolis. Macrinus and Diadumenian
CE 217-218
AE pentassarion, 27 mm, 12.3 gm
Obv: AYT K M OΠEΛ CEV MAKPEINOC K M OΠE ANTΩNINOC; Laureate head of Macrinus left and bare head of Diadumenian right, confronted
Rev: VΠ ΠONTIANOV MAPKIANOΠOΛEITΩN; Artemis advancing right, reaching for an arrow in quiver at shoulder and holding bow, hound at foot, E in left field
Ref: Varbanov 1159 var. (obverse legend); Megaw MAR5.12d; Hristova/Jekov 6.24.13.1

 

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I have one JUGATE variety from the Roman Republic, but it is pretty beat up:

(Even @dougsmit makes fun of it! )

JUGATE:


RR Cordius Rufus 46 BCE AR Denarius Jugate Dioscuri Venus scales Sear 440 Craw 463/1

 

Egypt, Alexandria. Nero. A.D. 54-68. BI tetradrachm (23.7 mm, 11.45 g, 11 h). Dated year 13 = A.D. 66-67. NΕΡΩ KΛΑV ΚΑΙΣ ΣΕΒ ΓΕΡ ΑV, L IΓ, radiate head left with aegis / ΤΙΒΕΡΙΟΣ ΚΑΙΣΑΡ, laureate head of Tiberius right.

 

i'll add one...





Philip II, 244-246 AD; Mesembria, Thrace

pentassaria 26mm 12.7g o: busts of philip and serapis; M AR IOYLIOC PHILIPPOC/KAICA, R below r: athena; MECAMB RIANWN Moushmov 4032

 

Two busts on each side:



SAPAEN KINGS OF THRACE
Rhoemetalces I
AE28 (13.51g, 28mm)
Late 1st century BC - 12 AD.
RPC I 1708; Youroukova 182-4.
O: BASILEWS ROIMHTALKOU, Diademed head of Rhoemetalces and draped bust of Pythadoris, conjoined right.
R: KAISAROS SEBASTOU, Heads of Augustus, laureate, and Livia, conjoined right; to right, capricorn right, holding globe.