There are several different schemes for encoding file-systems with various trade-offs in speed, simplicity, robustness to corruption, etc. Many files systems, especially of the Unix derived variety are based on the concept of an inode. ReiserFS does actually include an inode concept in it, but glues it all together in a different way than earlier systems.
A quick description of ReiserFS is here. Although, if you want to read a really good overview of the basic inode based design concept, I highly recommend the book "The Design and implementation of the 4.4 BSD Operating system". It has a really good chapter or two that walks through the whole thing.
A completely different approach to building a file system is something like the infamous DOS FAT File system. The FAT system is not based at all on inodes and instead uses a cluster chaining technique to map out files. Even though the FAT file system design is kind of clunky by today's standards, it does have the advantage of being really simple to implement especially in its original FAT12 or FAT16 varieties if you can live with its limitations.