The following is a comprehensive list of all Persian empires and their rulers:

Elamite Empire, 2700 BC-660 BC

The Elamites were a people located in Susa, in what is now Khuzestan province. Their language was neither Semitic nor Aryan, and they were the geographic precursors of the Persian/Mede empire that later appeared. Some have offered evidence for a linguistic kinship betwen Elamite and the modern Dravidian languages of Southern India, but this is not universally accepted. The proto-elamites lived even as far back as 5500 BC in Iran. See remains here.

Avan Dynasty (precise dates unknown)

Peli (fl. c. 2500 BC)
Tata (precise dates unknown)
Ukku-Takhesh (precise dates unknown)
Khishur (precise dates unknown)
Shushun-Tarana (precise dates unknown)
Napil-Khush (precise dates unknown)
Kikku-Sive-Temti (precise dates unknown)
Lukh-Ishshan (fl. c. 24th century BC)
Khelu (fl. c. 2300 BC)
Khita (fl. c. 2275 BC)
Kutik-Inshushinnak (fl. c. 2240 BC)

Simash Dynasty (precise dates unknown)

Gir-Namme (fl. c. 2030 BC)
Enpi-Luhhan (fl. c. 2010 BC)
Khutran-Temtt (precise dates unknown)
Kindattu (precise dates unknown)
Indattu-Inshushinnak I (precise dates unknown)
Tan-Rukhurater (precise dates unknown)
Indattu-Inshushinnak II (precise dates unknown)
Indattu-Napir (precise dates unknown)
Indattu-Tempt (precise dates unknown)

Eparti Dynasty (precise dates unknown)

Eparti I (precise dates unknown)
Eparti II (precise dates unknown)
Eparti III (fl. c. 1850 BC)
Shilkhakha (precise dates unknown)
Attakhushu (fl. c. 1830 BC)
Sirukdukh (fl. c. 1792 BC)
Shimut-Wartash (c. 1772 - c. 1770 BC)

Igehalkid Dynasty (c. 1350 - c. 1200 BC)

Ige-Halki (c. 1350 - c. 1330 BC)
Pakhir-Ishshan (c. 1330 - c. 1310 BC)
Attar-Kittakh (c. 1310 - c. 1300 BC)
Khuman-Numena (c. 1300 - c. 1275 BC)
Untash-Naprisha (c. 1275 - c. 1240 BC)
Unpatar-Naprisha (c. 1240 - c. 1235 BC)
Kiddin-Khutran (c. 1235 - c. 1210 BC)

Shutrukid Dynasty (c. 1205 - c. 1100 BC)

Khallutush-In-Shushinak (c. 1205 - c. 1185 BC)
Shutruk-Nahhunte (c. 1185 - c. 1155 BC)
Kutir-Nahhunte III (c. 1155 - c. 1150 BC)
Shilkhak-In-Shushinak (c. 1150 - c. 1120 BC)
Khutelutush-In-Shushinak (c. 1120 - c. 1110 BC)
Shilhana-Hamru-Lagamar (c. 1110 - ???? BC)

Late Elam Dynasty (743 - 644 BC)

Khumbanigash I (743 - 717 BC)
Shuttir-Nakhkhunte (717 - 699 BC)
Khallushu (699 - 693 BC)
Kutir-Nakhkhunte (693 - 692 BC)
Khumma-Menanu (692 - 689 BC)
Khumma-Khaldash I (689 - 681 BC)
Khumma-Khaldash II (681 - 680 BC)
Khumma-Khaldash II & Shilhak-In-Shushinak (680 - 676 BC)
Shilhak-In-Shushinak & Urtaku (676 - 664 BC)
Shilhak-In-Shushinak & Tempti-Khumma-In-Shushinak (664 - 653 BC)
Atta-Khumma-In-Shushinak & Khumbanigash II (653 - 651 BC)
Atta-Khumma-In-Shushinak & Tammaritu (651 - 649 BC)
Atta-Khumma-In-Shushinak & Indabigash (649 - 648 BC)
Indabigash (648 - 647 BC)
Khumma-Khaldash III (647 - 644 BC)

Jiroft (Aratta?) Kingdom, (~2500BC)

The recent archeological findings at Jiroft have uncovered an "independent, bronze age, civilization with its own architecture and language" that have led some archeologists to speculate it to be the remains of the lost Aratta Kingdom. 1

Median Dynasty

Deioces 728-675 BC
Phraortes 675-653 BC
Madius the Scythian 653-625 BC
Cyaxares 625-585 BC
Astyages 585-550 BC

The Medes were an Iranian people. The Persians, a closely related and subject people, revolted against the Median empire during the 6th century BC.

Achaemenid dynasty

Achaemenes, founder of the dynasty.
Teispes of Anshan , his son.
Cyrus I of Anshan, his son.
Ariaramnes of Persia , son of Teispes and co-ruler of Cyrus I.
Cambyses I of Anshan, son of Cyrus I.
Arsames of Persia , son of Ariaramnes and co-ruler of Cambyses I
Cyrus II the Great, son of Cambyses I, ruled from c.550 - 530 BC.
Cambyses II, his son, ruled 530 - 521 BC.
Smerdis, his alleged brother, ruled 521 BC
Darius the Great, his brother-in-law and grandson of Arsames, ruled 521 -486 BC.
Xerxes I, his son, ruled 486 -465 BC
Artaxerxes I, his son, ruled 464 - 424 BC.
Xerxes II, his son, ruled 424 - 423 BC.
Sogdianus, his half-brother and rival, ruled 424 - 423 BC.
Darius II, his half-brother and rival, ruled 424 - 404 BC.
Artaxerxes II, his son, ruled 404 - 358 BC (see also Xenophon).
Artaxerxes III,his son, ruled 358 - 338 BC
Arses, his son, ruled 338 - 336 BC
Darius III Codomannus, great-grandson of Darius II, ruled 336 -330 BC

The epigraphic evidence for the rulers before Cyrus the Great is highly suspect, and often considered to have been invented by Darius I.

Argead Dynasty

Seleucid dynasty

Seleucus I Nicator (312 BC/305 BC-281 BC)
Antiochus I Soter (co-ruler from 291, ruled 281-261 BC)
Antiochus II Theos (261-246 BC)
Seleucus II Callinicus (246-225 BC)
Seleucus III Ceraunus (225-223 BC)
Antiochus III the Great (223-187 BC)
Seleucus IV Philopator (187-175 BC)
Antiochus IV Epiphanes (175-164 BC)

(The Seleucid Dynasty gradually lost control of Persia. In 253 BC, the Arsacid Dynasty established itself in Parthia. The Parthians gradually expanded their control, until by the mid 2nd Century BC, the Seleucids had completely lost control of Persia. There were more Seleucid rulers of Syria and, for a time, Babylonia, after Antiochus IV, but none had any effective power in Persia).