The Silver collapse forcing $S(\omega, <\kappa)$ has the required properties. The conditions are functions $f$ such that $dom(f)=n\times X,$ for some $n<\omega$ and $X\in [\kappa]^{\omega}$ and $f(i, \alpha) <\alpha$ for all $i<n, \alpha\in X.$
Another example is the "universal collapse forcing" of Kunen.
For more details see Cummings paper "Iterated forcing and elementary embeddings", section 20.