Access is Microsoft's well known data base tool. However, it only comes in the higher priced versions of Office and many people don't use Office at all. Here are two alternatives:
1. Grubba - free, web based, easy to use database app. Useful for Chromebook users and others looking for a web based solution. There is also a growing community of users and tutorial videos and support. There are pre-made templates to help you get started too. There are a lot of features, so take a look.
2. OpenOffice / LibreOffice Base - OpenOffice and LibreOffice are free alternatives to Microsoft Office and both have a database tool called Base. It is easy to use, with a lot of great features and support and training resources, including an excellent manual. It also can work with SQL and Access files.
http://www.libreoffice.org/discover/base/
https://www.openoffice.org/
I've used LibreOffice for years and love it and prefer it over OpenOffice.
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Related:
LibreOffice - free office suite software
Free Alternatives to Microsoft Office
Why do schools still pay so much for software? Free alternatives to paid software and services.