The extraordinary solar activity of October--November 2003 manifested itself in many powerful eruptive events, including large CMEs and extremely powerful flares. A number of major events were accompanied by practically all known phenomena of the solar activity, both local and large-scale, and caused severe space weather disturbances. We study large-scale post-eruptive activity manifestations on the Sun associated with CMEs, i.e., dimmings and coronal waves, observed in extreme ultraviolet with the EIT telescope on SOHO and SPIRIT telescope on the CORONAS-F satellite. Using the combination of EIT data produced mainly in 195 Å band and SPIRIT data produced in 175 Å and 304 Å bands and taking advantage of the fact that these data complement each other, we analyze CME-associated disturbances in some events of October--November 2003 and their common properties. A huge activity complex constisting of interconnected large superactive regions and smaller sunspot groups is shown to be responsible for the extraordinary solar activity of that period. Largest-scale dimmings were widespread over the whole southern part of the Sun's visible side and exhibited homology, with one homological structure being changed to another configuration on October 28. Coronal waves were observed in some events, mainly in the northern part of the visible solar disk. We also reveal and discuss some interesting phenomena observed during that period, in particular, a moving dark feature recorded in November 18 event.