G'Day Felix!
I like Rod Elliot stuff too. I've learned a lot reading his pages over the years. I think he has an article (lesson) on just about every technical aspect of audio, written in everyday language - great for beginning (and advanced) DIYers. I built his LR4 active crossover and I'm planning to build his P101 too.
I like 4562 for the tight bass, feeling of solidity and confidence. I like it on old jazz and pop/rock stuff with lower midrange melodies on horns and voices, and fewer spatial cues on the studio recordings. A little too closed in for me on classical and acoustic recordings. It would be great for subwoofer input or bass EQ.
The 2134 is a sweet, "fun" sounding opamp. It has a little EQ bump in the presence band, making it sound "exciting." I found it to wear thin in the long run, but it's good for spicing up dull sounding signal, like vintage NOS DAC or badly aligned cartridge, or steep passive M/T crossover. Nice enjoyable open sound.
I like LM833N and MC33078, both TI. They are open, clear ballsy powerful sound top to bottom. 833 is a little more mild, I think. MC33078 is a killer, took some getting used to it for these old ears, but now I love it.
If you like a more vintage sound, have you tried 5532? The original Signetics version was a pro audio workhorse for decades. A lot of our music is recorded through those under the mixing boards and in the mics and tape recorders and cutters. They are now made by TI and ON Semi, I can't remember which one is better, but one is almost as good as the Signetics, I think it's the ON. The signetics were kind of fragile so not a lot of working ones left so avoid Ebay.
Rich