BMG was great. Did that many times.
You're kind of opposite from me usually, so I don't know what I'd recommend next for you. The only other Thin Lizzy song I'd ever heard on the radio was Hollywood (Down On Your Luck) off of 1981's Renegade album, which BTW is my favorite album of theirs.
My second favorite is 1977's Bad Reputation, which is the last to feature Brian Robertson on guitar, as it basically closes out their Classic Era. Try that one. It has some great tunes I think you'd like..Dear Lord, Dancin' In The Moonlight, Southbound...