Last four-tag loss was in 2008. (The last time before that was just sixteen months prior. Getting four picks used to be much more common than it is now.)
2013. This is ignoring a Big Money Week $5,000 bailout in Season 47.
tpirstats.com is a great resource for questions like these.
Thanks for supplying these statistics.
I was wondering if $0 in total winnings ever occurred in Plinko (i.e., a contestant getting all four SP prices wrong and having his or her Plinko chip land in a $0 slot), and according to tpirstats.com, this has occurred twice since Season 29: on 2/15/10 and 6/10/11. This very likely also happened before Season 29, though I would be curious to learn of any other occurrences.
Also, does anybody know if $0 in winnings (i.e., no SPs or punches being won) has ever occurred in Punch-a-Bunch? It seems that the producers make sure the pricing portion for two or three of the SPs is very easy, just so the main game gets played. According to tpirstats.com, there has never been a playing since Season 29 in which zero punches were won.