We report on scanning tunneling microscopy ͑STM͒ studies of the Cu͑014͒-O and W͑100͒-O surfaces using MnNi tips. The STM data demonstrate asymmetry effects in atomically resolved images of W͑100͒-O as well as a regular apparent doubling of surface atomic features along the ͕110͖ direction in Cu͑014͒-O surface images. A qualitative explanation of the observed features based on tight-binding ͑TB͒ and density functional theory ͑DFT͒ calculations of the electronic structure of the MnNi tip is presented. The experimentally observed tip-sample distance dependence of atomically resolved images of Cu͑014͒-O surface and results of DFT and TB calculations show a significant role of different electron orbitals on both the tip and the surface atoms in the STM image formation.