Energy levels database
The Pitt Quantum Repository can get you what you want, at least for molecular species.


Go to the PQR at http://pqr.pitt.edu.
Search for a molecule, like benzaldehyde.
Click "Detailed" on the properties pane.
You can see HOMO and LUMO in the list.
Scroll down to the bottom of the page and click on the link to "Get JSON data". 
The JSON file will open in your browser or you will download. You should be able to open it with a text editor. There will be a list of orbital energies for the set of molecular orbitals computed from the valence atomic orbitals. For example, for benzaldhyde.

"homo": -10.168, 
"lumo": -0.712, 
"orbitals": [
"-31.27648", 
"-30.67710", 
"-26.81219", 
"-26.23865", 
"-23.01445", 
"-21.46816", 
"-20.14594", 
"-18.05465", 
"-16.39792", 
"-15.70143", 
"-14.95762", 
"-14.67105", 
"-14.63486", 
"-14.38581", 
"-13.35746", 
"-12.66484", 
"-12.26937", 
"-10.28746", 
"-10.23037", 
"-10.16786", 
"-0.71215", 
"-0.10196", 
"1.01720", 
"2.30473", 
"3.35595", 
"3.89337", 
"4.34241", 
"4.54954", 
"4.71066", 
"4.82113", 
"4.99402", 
"5.26380", 
"5.29598", 
"5.54486", 
"5.70599", 
"5.83103", 
"5.89240", 
"6.03437"
],