For the Beginner:
(1) Tafseer al-Jalaalayn by Jalaal ud-Deen as-Suyootee (d. 911) and Jalaal ud-Deen al-Mahalee (d. 864), and
(2) Tafseer al-Baydaawee (d. 658).
Shaykh al-Fawzaan mentioned that despite the shortcomings of both of these books, they explain and clarify many of the phrases and meanings of the Qur’aan.
For the Student of Knowledge:
(3) Tafseer Ibn Katheer (d. 774), and
(4) Tafseer al-Baghawee (d. 516), which the Shaykh called a "good, Salafee tafseer."
For Everyone (Beginner, Student, Scholar):
Tafseer Ibn Sa’dee (d. 1376). The Shaykh mentioned how it is a great book because it is an easy-to-read, complete tafseer which covers all of the various sciences.
For the Scholars:
(5) Tafseer at-Tabaree (d. 310), which the Shaykh called "The Mother of the Tafaaseer,"
(6) Tafseer al-Qurtubee (d. 671), and
(7) Adwaa’ ul-Bayaan of Muhammad al-Ameen ash-Shanqeetee (d. 1393).
Finally, he mentions (8) Fath ul-Qadeer of Shawkaanee (d. 1250), stating that it is good for both students of knowledge and beginners as well.
Shaykh Saalih al-Fawzaan
http://www.albaseerah.org/forum/showthread.php?t=4239