a database, (by which I presume you mean a proper relational database), this limits things slightly.
Ability Office click here does have a relational database, and it can save in and read MS Access .mdb files. The latest release of this suite is imminent. The Word Proc and S/Sheet that come with the suite are "Word" and "Excel" compatible.... but graphics and charts can be flaky.... (Free Trial, about £45 quid for whole suite) The new version has a "powerpoint" equivalent for the first time. I can't vouch for how good this component is.. I'm not a powerpoint user.
EasyOffice click here is good, with lots of useful inclusions, (good backup system, pdf creation etc). There is a free version without some of the feature, but whole suite is only about £30 Also Word/Excel "compatible" I'm not sure if this has a Powerpoint equivalent.
602Suite is of a similar quality to EasyOffice, different, but, in my judgement, no better or worse. Again it is Word/Excel "compatible". Again I'm not sure if this has a Powerpoint equivalent. Note that there is an offer on at the moment, THAT RUNS OUT TODAY 17TH JUNE... If you buy the site at $29.95, (note that is US dollars, about £14), you get the "printpack", which enables pdf creation among aother things, FREE. The free version has limited features, but is worth downloading for a trial... not easy to find on the site, but it's here
OpenOffice click here is the best for compatibility with MSOffice. It's FREE, and with this you can choose which components to install.
Star Office is basically OpenOffice with some extra features, that aren't free, so you have to pay for it.
I hope this helps,