A class of stochastic degenerate parabolic equations with delay term and colored noise on unbounded domains is considered, where the leading term is the subelliptic operator has form \(\Delta _\lambda u:= \sum _{j=1}^{N}\partial _{x_j}\big (\lambda ^2_j(x)\partial _{x_j}u\big )\) and the nonlinearity \(F(x,u(t-\eta (t))\) containing some memory effects during a fixed interval of time of length \(\rho>0,\) \(\eta\) is a given delay function, and \(\zeta _\delta\) is the colored noise with correlation time \(\delta>0.\) By means of an associated random dynamical system, the existence and convergence of random pullback attractors are proved. The idea of uniform tail-estimates is employed, where some new techniques are introduced to overcome the non-compactness of the embeddings on unbounded domains and several rigorous calculations are established to deal with the delay and colored noise terms. Our results obtain here are even new for the degenerate parabolic equations involving the subelliptic operator \(\Delta _\lambda ,\) when the delay term disappears or without the stochastic noise.
