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Energy differences between frozen core and all electrons correlated.
MP2, MP3, MP4, B2PLYP, CCSD, and CCSD(T)

For C3H3N2 (imidazolyl radical)

Energies in Hartree
Methods with standard basis sets
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.001600 -0.008489 -0.008489 -0.006277 -0.021618 -0.022121 -0.022898 -0.093570 -0.094047 -0.041129 -0.085463 -0.011966 -0.074016 -0.014135 -0.087053
MP3=FULL         -0.021067   -0.022367       -0.089046 -0.011180 -0.075650    
MP4=FULL   -0.008123     -0.021107       -0.097673     -0.011152 -0.022702 -0.013296 -0.090012
B2PLYP=FULL -0.000487 -0.002528 -0.002528 -0.001865 -0.006335 -0.006478 -0.006708 -0.026659 -0.026803 -0.011832 -0.024380 -0.003522 -0.021317 -0.004156 -0.024988
Coupled Cluster CCSD=FULL         -0.020669           -0.088764 -0.010832 -0.074763 -0.012925 -0.088782
CCSD(T)=FULL         -0.020927           -0.089340 -0.011006 -0.075408 -0.013116 -0.092373
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) TZVP cc-pVDZ cc-pVTZ aug-cc-pVDZ aug-cc-pVTZ