Extreme ultraviolet (EUV) spectra emitted from iron and copper ions in a range of 8-500 Å and molybdenum ions in a range of 8-400 Å were measured in Experimental Advanced Superconducting Tokamak (EAST) discharges accompanied with spontaneous sputtering events, by which metallic impurity influxes are suddenly increased in the discharge. Several spectral lines from L-, M-, and N-shell partially ionized ions have been successfully observed with two EUV spectrometers named EUV_Short and EUV_Long working in wavelength ranges of 8-130 Å and 20-500 Å, respectively. The wavelength position is accurately calibrated in-situ based on several well-known spectra of low-Z impurity ions. The line identification is carefully performed based on the National Institute of Standards Technology (NIST) database and previously published experimental data. As a result, it is found that B-, Be-, and Li-like iron and copper spectra Al-, Mg-, and Na-like molybdenum spectra appear in discharges with high central electron temperature (>1.8 keV). The highest ionization stages identified here are Li-like iron and copper and Na-like molybdenum, e.g. Fe XXIV at 192.028 Å (1s22p 2P3/2→1s22s 2S1/2), Cu XXVII at 153.513 Å (1s22p 2P3/2→1s22s 2S1/2) and Mo XXXII at 127.868 Å (2p63p 2P3/2→2p63s 2S1/2). Two unresolved transition arrays of molybdenum ions (Mo-UTAs) appear at wavelength ranges of 15-30 Å and 65-95 Å, and are preliminarily identified as Mo XX-Mo XXXII and Mo XVII-Mo XXXII, respectively. In addition, six spectral lines are newly found by comparing a time evolution of the line intensity from impurity ions in different ionization stages, i.e. Fe XVIII at 17.60±0.02 Å, Cu XXI at 13.15±0.02 Å, Cu XVIII at 260.32±0.07 Å, Cu XVIII at 261.00±0.06 Å, Mo XXVIII at 85.30±0.03 Å and Mo XXIX at 89.59±0.03 Å. The wavelengths of EUV spectra identified in this work are summarized in tables with transitions for each impurity species.