A couple of others, which usually don't get used because Deflate is superior.
Popularity
Very high; quasi standard under Windows.
Meta data
Optional archive comment.
Optional comment per entry.
All kinds of system-specific data (like file attributes) can be added per file using so called extra fields.
Limitations
Internal
offset values are 32 bits large, so only files up to 4 GB can be stored (the
format was extended to use 64 bit integers, but not all programs support
that).
No support for extended character sets in file names.
Data recovery
PKZIPFIX is a tool that creates a new ZIP archive from any damaged archive, putting all non-damaged file entries into that new archive.
Checksums (CRC32) are created on each included file to identify data corruption, but no error correction codes are used.
A
work-around to improve compression ratio would be to create a ZIP archive
with all entries being uncompressed, and putting that archive into another
ZIP archive, using regular compression.
Support for multiple volumes?
Yes, the format provides signatures to identify archive files that are not the first volume.
However, all parts of a multi-volume archive have the same name, so they cannot be put into one directory.
Libraries
The Java standard runtime library has code to access and create ZIP files in the package java.util.zip
Description
A file format created by PKWare for its pkzip / pkunzip shareware tools.
Specification
PKWare has designed the file format and offers an application note
that describes it.