I asked this question a few days ago (thread: http://androidforums.com/android-applications/311872-android-voice-answer-machine.html ) and with a bit of help found Hullomail.
There is a free version (with ads) and and a paid version (exactly the same but without ads) and it is brilliant. For all those who scoff at users who don't have free voicemail, some of us don't - and have to pay for it. This app is great and does exactly what it says on the tin.
As Nick-B says, it will answer your call if you can't take it, play a standard (or recorded) message and will send an mp3 message directly to your phone. You then have a list of missed calls with the number of the sender, along with the 'voicemail', take them in any order, play back as often as required - or even keep them.
Great app - BUT .... I think that it only currently works in the UK.
The problem with hullomail is that you have to pay for the call forwarding to their service, my networks takes it out of my inclusive call allowance but those on payg or networks that charge for call forwarding it can work out pricey if you get cold called..
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