The governers taken from wikipedia are

Claudian Governors

 

• Aulus Plautius (43–47)
• Publius Ostorius Scapula (47–52)
• Aulus Didius Gallus (52–57)
• Quintus Veranius (57–57)
• Gaius Suetonius Paulinus (58–62)
• Publius Petronius Turpilianus (62–63)
• Marcus Trebellius Maximus (63–69)

Flavian Governors

 

• Marcus Vettius Bolanus (69–71)
• Quintus Petillius Cerialis (71–74)
• Sextus Julius Frontinus (74–78), also a military and technical writer
• Gnaeus Julius Agricola (78–84), conqueror of Caledonia
• Sallustius Lucullus (uncertain; 84 – c. 89)
• Aulus Vicirius Proculus (fl. 93)
• Publius Metilius Nepos (uncertain; c. 96 – c. 97)

Trajanic Governors

 

• Titus Avidius Quietus (c. 97 – c. 101)
• Lucius Neratius Marcellus (c. 101 – c. 103)
• Unknown (c. 103 – 115)
• Marcus Appius Bradua (uncertain; 115–118)

Hadrianic Governors

 

• Quintus Pompeius Falco (118–122)
• Aulus Platorius Nepos (122 – c. 125)
• Trebius Germanus (uncertain; c. 127)
• Sextus Julius Severus (c. 131 – c. 133)
• Publius Mummius Sisenna (uncertain; c. 133 – c. 135)

Antonine Governors

 

• Quintus Lollius Urbicus (c. 138 – c. 144)
• Gnaeus Papirius Aelianus (c. 145 – c. 147)
• Unknown (c. 147 – c. 154)
• Gnaeus Julius Verus (c. 154 – c. 158)
• Longinus (c. 158 – 161)
• Marcus Statius Priscus (c. 161 – c. 162)
• Sextus Calpurnius Agricola (c. 163 – c. 166)
• Unknown (c. 166 – 175)
• Quintus Antistius Adventus (c. 175 – c. 178)
• Caerellius Priscus (uncertain; c. 178 – c. 181)
• Ulpius Marcellus (c. 181 – c. 185)
• Publius Helvius Pertinax (c. 185 – c. 187), later Roman Emperor
• Unknown (c. 187 – c. 191)
• Decimus Clodius Albinus (c. 191 – c. 197), imperial usurper

Severan Governors

 

• Virius Lupus (197 – c. 200)
• Pollienus Auspex (c. 201)
• Marcus Antius Crescens Calpurnianus(acting; c. 202)
• Gaius Valerius Pudens (c. 202 – c. 205)
• Lucius Alfenus Senecio (c. 205 – c. 207)
• C. Junius Faustinus Postumianus (c. 208 – c. 211)