I shall recall in historical perspective some results from nineties and show further how $kappa$-deformed symmetries and $kappa$-Minkowski space inspired DSR (Doubly of Deformed Special Relativity) approach proposed after 2000. As very recent development I shall show how to describe quantum-covariant $kappa$-deformed phase spaces by passing from Hopf algebras to Hopf algebroids (arXiv:1507.02612) and I will briefly describe the $kappa$-deformations of $AdS_5 times S^5$ superstring target spaces (arXiv:1510.030.83).