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

For Al+ (Aluminum atom cation)

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) 6-311+G(3df,2p) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ
Moller Plesset perturbation MP2=FULL -0.006676 -0.004481 -0.010234 -0.003320 -0.009003 -0.009003 -0.010442 -0.125534 -0.125534 -0.014228 -0.157849 -0.157849 -0.071633 -0.004407 -0.062424 -0.029668 -0.004748 -0.063665 -0.030109 -0.004837 -0.064044
MP3=FULL   -0.004302 -0.010240 -0.003177 -0.009002 -0.009002 -0.010466 -0.125092 -0.125092 -0.014189     -0.072115 -0.004331 -0.062825   -0.004672 -0.064058      
MP4=FULL -0.006614 -0.004382 -0.010449 -0.003211 -0.009132 -0.009132 -0.010652 -0.126354 -0.126354 -0.014234 -0.159217 -0.159217 -0.073634 -0.004407 -0.064472 -0.030783 -0.004757 -0.065725 -0.031222    
B2PLYP=FULL -0.002210 -0.001457 -0.003277 -0.001070 -0.002856 -0.002856 -0.003310 -0.037116 -0.037116 -0.004477 -0.046819   -0.021601 -0.001422 -0.019083   -0.001530 -0.019451   -0.001558 -0.019563
Quadratic configuration interaction QCISD(T)=FULL         -0.008977   -0.010490       -0.158755     -0.004340 -0.064196 -0.030488 -0.004686 -0.065441 -0.030925 -0.004777 -0.065822
Coupled Cluster CCSD=FULL   -0.004158 -0.009935 -0.003047 -0.008674 -0.008671 -0.010133 -0.125083 -0.125083 -0.013428 -0.156676 -0.156676 -0.072102 -0.004184 -0.062720 -0.029537 -0.004514 -0.063951 -0.029960 -0.004601 -0.064328
CCSD(T)=FULL   -0.004319 -0.010288 -0.003157 -0.008974 -0.008974 -0.010486 -0.126175 -0.126175 -0.013941 -0.158734 -0.158734 -0.073345 -0.004339 -0.064147 -0.030469 -0.004685 -0.065392 -0.030906 -0.004776 -0.065773
STO-3G 3-21G 3-21G* 6-31G 6-31G* 6-31G** 6-31+G** 6-311G* 6-311G** 6-31G(2df,p) 6-311+G(3df,2p) 6-311+G(3df,2pd) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ