FileMaker is a good database for shifting from MS Access.
It is a cross-platform database (mac/PC). It has a Web Viewer, through which you can connect to the web world. For example, charts, maps etc can be shown in this web viewer.
FileMaker is easy to use for beginners. You could also explore the scripting mechanism and achieve data manipulation.
The latest FileMaker 10 has several new interesting features. My vote is for FileMaker.
