Here is the Greek Orthodox Patriarchate of Antioch's succession line:
Our Lord and Savior Jesus Christ ordained the 12 Apostles 30-33
Saint Peter the Apostle c.37 - c.53
Euodias c.53 - c.68
Saint Ignatius c.68 - 107
Hero 107 - c.127
Cornelius c.127 - c.154
Eros c.154 - c.169
Theophilus of Antioch c.169 - 182
Maximus I 182 - 191
Serapion 191 - 211
Ascelpiades 211 - 220
Philetus 220 - 231
Zebinnus 231 - 237
Saint Babylas 237 - 253
Fabius 253 - 256
Demetrius 256 - 260
Paul of Samosata 260 - 272
Domnus I 268 - 273
Timaeus 273 - 282
Cyril 283 - 303
Tyrannos 304 - 314
Vitalis 314 - 320
Saint Philogonus 320 - 323
Paulinus of Tyre 323 - 224
Saint Eustathius 324 - 337
Eulalius 331 - 333
Euphornius 333 - 334
Philaclus 334 - 342
Stephanus I 342 - 344
Leontius 344 - 357
Eudoxius 358 - 359
Euzoius 360
Saint Meletius 361 - 381
Flavian I 381 - 404
Porphyrus 404 - 412
Alexander 412 - 417
Theodotus 417 - 428
John I 428 - 442
Domnus II 442 - 449
Maximus II 449 - 455
Basil 456 - 458
Acacius 458 - 461
Martyrius 461 - 465
Peter the Fuller 465 - 466
Julian 466 - 476
Peter the Fuller (restored) 476 - 488
John II 488 - 490
Stephanus II 490 - 495
Callandion 495 - 496
Palladius 496 - 498
Flavian II 498 - 512
Severus of Antioch 512 - 538
(Severus was deposed by the Greek Orthodox Church in 518; while in exile in Egypt, he was recognized by many Syriac Christians as the lawful Patriarch until his death in 538)
Paul I 518 - 521
Euphrosius 521 - 528
Ephrem of Amid 528 - 546
Domnus III 546 - 561
Anastasius the Sinaite 561 - 571
Gregory 571 - 594
Anastasius the Sinaite (restored) 593 - 599
Anastasius II 599 - 610
Gregory II 610 - 620
Anastasius III 620 - 628
Macedonius 628 - 640
George I 640 - 656
Macarius 656 - 681
Theophanes 681 - 687
Sebastian 687 - 690
George II 690 - 695
Alexander 695 - 702
Vacancy 702 - 742
Stephen IV 742 - 744
Theophylact 744 - 751
Theodore 751 - 797
John IV 797 - 810
Job 810 - 826
Nicholas 826 - 834
Simeon 834 - 840
Elias 840 - 852
Theodosius I 852 - 860
Nicholas II 860 - 879
Michael 879 - 890
Zacharias 890 - 902
George III 902 - 917
Job II 917 - 939
Eustratius 939 - 960
Christopher 960 - 966
Theodorus II 966 - 977
Agapius 977 - 995
John IV 995 - 1000
Nicholas III 1000 - 1003
Elias II 1003 - 1010
George Lascaris 1010 - 1015
Macarius the Virtuous 1015 - 1023
Eleutherius 1023 - 1028
Peter III 1028 - 1051
John VI, also known as Dionysus 1051 - 1062
Aemilian 1062 - 1075
Theodosius II 1075 - 1084
Nicephorus 1084 - 1090
(After 1098, the Patriarchate was in exile, at first at Constantinople, having been replaced by a Latin Patriarch.)
John VII 1090 - 1155
John IX 1155 - 1159
Euthymius 1159 - 1164
Macarius II 1164 - 1166
Athanasius I 1166 - 1180
Theodosius III 1180 - 1182
Elias III 1182 - 1184
Christopher II 1184 - 1185
Theodore IV (Balsamon) 1185 - 1199
Joachim 1199 - 1219
Dorotheus 1219 - 1245
Simeon II 1245 - 1268
Euthymius 1268 - 1269
(With Theodosius IV, the Patriarchate returned to Antioch.)
Theodosius IV 1269 - 1276
Theodosius V 1276 - 1285
Arsenius 1285 - 1293
Dionysius 1293 - 1308
Mark 1308 - 1342
(With Ignatius II, the Patriarchate transferred to Damascus.)
Ignatius II 1342 - 1386
Pachomius 1386 - 1393
Nilus 1393 - 1401
Michael III 1401 - 1410
Pachomius II 1410 - 1411
Joachim II 1411 - 1426
Mark III 1426 - 1436
Dorotheus II 1436 - 1454
Michael IV 1454 - 1476
Mark IV 1476
Joachim III 1476 - 1483
Gregory III 1483 - 1497
Dorotheus III 1497 - 1523
Michael V 1523 - 1541
Dorotheus IV 1541 - 1543
Joachim IV (Ibn Juma) 1543 - 1576
Michael VI (Sabbagh) 1577 - 1581
Joachim V 1581 - 1592
Joachim VI 1593 - 1604
Dorotheus V 1604 - 1611
Athanasius III (Dabbas) 1611 - 1619
Ignatius III (Attiyah) 1619 - 1631
Euthymius III 1635 - 1636
Euthymius IV 1636 - 1648
Michael III (Zaim) 1648 - 1672
Neophytos 1674 - 1684
Athanasius IV (Dabbas) 1686 - 1694
Cyril III (Zaim) 1694 - 1720
Athanasius IV (Dabbas) 1720 - 1724
Sylvester 1724 - 1766
Philemon 1766 - 1767
Daniel 1767 - 1791
Euthymius V 1792 - 1813
Seraphim 1813 - 1823
Methodius 1843 - 1859
Hierotheos 1850 - 1885
Gerasimos 1885 - 1891
Spyridon 1892 - 1898
Meletius II (Doumani) 1899 - 1906
Gregory IV (Haddad) 1906 - 1928
Alexander III (Tahan) 1928 - 1958
Theodosius VI (Abourjaily) 1958 - 1970
Elias IV (Muawad) 1970 - 1979
Ignatius IV (Hazim) 1979 - Present
It may be found at
http://www.antiochianladiocese.org/About/patriarchal_succession.htmThomas