January must be the only month that incites two currents of feeling as opposed as curmudgeonly post-Christmas gloom and the spirit of the great New Year clear-out. Neatly reconciling both is Michael Landy's "Art Bin" project. No stranger to decluttering (his 2001 work, Break Down, saw him destroy all his possessions), Landy is placing a huge industrial skip in the South London Gallery and inviting artists to fill it with what they deem their worst work. This "monument to creative failure" will then be open to the public from 29 January. It's not just any old rubbish though: perversely, Landy has to like the work for it to be included, and Peter Blake and Gary Hume have both agreed to contribute. In the spirit of cheerful destruction, we asked four leading artists to nominate the one artwork they'd like to see binned - and not, like Landy, because they think it's good.  The Dinner Party, by Judy Chicago  "Too many vaginas for my liking. I find it all about Judy Chicago's ego rather than the poor women she's supposed to be elevating – we're all reduced to vaginas, which is a bit depressing. It's almost like the biggest piece of victim art you've ever seen. And it takes up so much space! I quite like the idea of trying to fit it in some tiny bin – not a very feminist gesture but I don't think the piece is either."  The Meeting Place, Paul Day  "It's an easy target and barely a work of art, but that terrible sculpture at St Pancras station of the kissing aliens (below) has to go. Can it be toppled Saddam-style as a public artwork in itself?"  The Angel of the North, Antony Gormley  "I object to the characterisation of the north as rusty and industrial. The other deeply unfortunate thing is that it looks like a Luftwaffe cap badge. It's kind of "learn-to-love-it sculpture" too – everyone hates it initially and then it wears them down. He [Antony Gormley] reminds me of my favourite character in The Simpsons, the guy who comes round to the burghers of Springfield to sell them a monorail. All these local councils who know nothing about art think, "We gotta have a Gormley!"  Statue of Putin, Zurab Tsereteli  "It's absolutely, monumentally hideous and ideologically hollow. I don't want to see any artwork destroyed, no matter how bad it is, because it's almost like Hitler burning books. If you get rid of an artwork you get rid of your history. So even though I don't want this artwork and it should be put in the bin, it should be dug out of the bin in 50 years' time so we could all have a good laugh at it."
Artist Michael Landy's latest idea is to dump other people's work in a giant skip. Hermione Hoby asks four artists what they'd like to sling out