Is there a good 160 bit alternative for SHA-1?

First, SHA-256 is significantly faster (usually) than SHA-512, and is strong enough for the vast majority of uses.

Second, you can truncate hash output, as long as you're aware of the "birthday paradox" -- e.g. 160 bits of output gives you ~80 bits of security. You probably want to avoid truncating if possible, but if you need to, SHA-256 truncated to 160 bits is better than SHA-1 at this point.

Note that all the recent SHA-1 attacks are collision-based -- there are no preimage or 2nd preimage attacks, even against MD5, so "reversing" these aren't feasible (currently).