Experiment. Backup before you try anything.
du -h --max-depth 1 /var
1. log
Refine your /etc/rsyslog.conf and /etc/logrotate.conf setups to minimize the size of your logs. You can delete logfiles that are not in use.
2. apt
Try
# apt-get autoremove
# apt-get autoclean
The largest directory generated by apt is usually /var/cache/apt
3. Doc.
If you do not want man pages and docs you can delete
files in the following directories
/usr/share/doc
/usr/share/man
/usr/share/doc-base
You might also check out
localepurge