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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 anion)

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) 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 -0.003751 -0.004423 -0.009806 -0.003224 -0.047475 -0.008607 -0.010011 -0.158858 -0.125098 -0.013829 -0.156656 -0.071024 -0.004338 -0.062114 -0.028783 -0.004681 -0.041318 -0.029303 -0.004769 -0.063763
MP3=FULL         -0.008516   -0.009942       -0.156104 -0.071357 -0.004153 -0.062264         -0.004578 -0.063904
MP4=FULL   -0.004324     -0.008644       -0.125835   -0.157948   -0.004214 -0.063927   -0.004576 -0.065224   -0.004666 -0.065602
B2PLYP=FULL -0.001288 -0.001454 -0.003164 -0.001049 -0.002753 -0.002753 -0.003196 -0.037003 -0.037003 -0.004381 -0.046510 -0.021455 -0.001415 -0.019026   -0.001523 -0.019406   -0.001551 -0.019518
Quadratic configuration interaction QCISD(T)=FULL         -0.008575           -0.157646   -0.004181 -0.063745   -0.004543 -0.065023   -0.004632 -0.065399
QCISD(TQ)=FULL         -0.008561   -0.010055       -35.604560   -0.004170 -0.063575 -9.268590 -0.004509 -4.627843 -13.848385 -0.004686 -2.451348
Coupled Cluster CCSD=FULL         -0.008354         -0.013158 -0.155859 -0.071668 -0.004034 -0.062405 -0.028748 -0.004364 -0.063642 -0.029227 -0.004450 -0.064014
CCSD(T)=FULL         -0.008575           -0.157622 -0.072689 -0.004181 -0.063688 -0.029554 -0.004539 -0.064966 -0.030058 -0.004628 -0.065341
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) TZVP cc-pVDZ cc-pVTZ cc-pVQZ aug-cc-pVDZ aug-cc-pVTZ aug-cc-pVQZ daug-cc-pVDZ daug-cc-pVTZ