On this page you can find specific Debian packages able to replace Windows programs.
For additional info search http://www.debian.org/distrib/packages for the names of the Windows equivalents.
Access: you can include any SQL database (e.g. MySQL) into LibreOffice using their ODBC interface
Adobe Acrobat Reader: evince xpdf okular http://www.adobe.com/products/acrobat/readstep2.html (if you don't want the English version, select another language).
Adobe Illustrator: inkscape
Mind Manager: hnb
If you can't find any equivalent package which suits your needs consider RunningWindowsPrograms.