I found these though Im not sure which ones may still be operational... worth a try.

1) JOBTRACK
Telephone #: 009714 397 7751
www.jobtrackme.com

2) BAC MIDDLE EAST EXECUTIVE RECRUITMENT
Telephone #: 009714 336 0350
www.bacme.com

3) KERSHAW LEONARD
Telephone #: 009714 343 4606
www.kershawleonard.net

4) CLARENDON PARKER
Telephone #: 009714 391 0460
www.clarendonparker.com

5) TALENT MANAGEMENT CONSULTANCY
Telephone #: 009714 335 0999
www.talentdubai.com

6) CHARTER HOUSE
Telephone #: 009714 332 5116
www.charterhouseme.ae

7) S.O.S RECRUITMENT CONSULTANTS
Telephone #: 009714 396 5600
www.sosrecruitment.net

BAYT
www.bayt.com

9) POSITIVE STEPS
www.positivesteps.ae

10) BUDGE RECRUITMENT
www.budgerecruitment.com

11) DSA RECRUITMENT SERVICES
Telephone #: 009714 345 6719
e-mail: dsadubai @ emirates.net.ae

12) AISBS JOBS ME
Telephone #: 009714 222 7434
www.jobs-me.com

13) JOB SCAN
Telephone #: 009714 355 9113
e-mail: jobscan2 @ emirates.net.ae  

The latest and always updated list of the TOP 20 recruitment Agencies in Dubai can be found at

www.dubai-forever.com/...dubai.html

This list gets inputs from various companies in a variety of career fields as well as from regular candidates like you.