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A second course in the representation theory

I've read Etingof's and then Fulton-Harris' books about the representation theory and found their subject very exciting!

Can someone, please, recommend me a textbook containing a kind of the "second course" in this branch of the mathematics? (It'd be great if someone recommended a "russian-style" book.)

(I heard a lot about the "Representation theory and complex geometry" written by Chriss and Ginzburg. Is it really so wonderful? And what other good references do you know?)

I'm going to learn the advanced representation theory for its own sake. But I'll be glad to see interesting intersections with the algebraic or complex geometry!

UPD: User Vincent's answer was really great! But it was only about the Lie groups. I'm also interested in such topics as Kac-Moody algebras, category $\mathcal O$, (double affine) Hecke algebras, Soergel (bi)modules, quantum groups and other things like those... Can some of them be a part of the second (not third, fourth, etc.) course? And are there introductory textbooks covering a part of this material?