The other use is providing online payments to people who aren't in the banking system. The banking system requires trust, and shuts untrustworthy people out - both at the level of individuals and entire regions. Bitcoin eliminates the need for trust (on the monetary layer) and can thus reach more people.
Both are great applications. They are largely irrelevant in the West because only a tiny fraction of us experience those problems, but that doesn't mean they don't exist elsewhere.