My creative Zen does both ways. Zen micro does too.
I know the iPod does both ways too (I used to own it). The mini behaves in the same way as the full-sized iPod, so...
Not sure bout the iRiver
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Sony D-NE1 -> Go-Vibe V3 -> Sennheiser HD595 | Sony Ericsson M600i -> HPM-70 (stock MDR-EX71-like earbuds/Sharp HP-MD33-S/Sennheiser PX100)
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