Personal favourites are Telefunken and Siemens-Halske, followed closely by the Orange Globes at much more reasonable prices. Amperex are generally more mellow [IMHO] than Telefunken and Siemens. I've got a well used set of Amperex D getter bugle boys that definitely have something special going for them but strictly speaking it's warmth rather than accuracy. In a very broad sense the Amperex family [and mullards] are more mellow than the Siemens and Telefunken tubes.
I'm not confident that you will find something that can "bring out more of the mids and highs". This sounds like you might need to look at some other part of your system if I'm understanding what you're saying.
The least successful tube of many I've tried was one of the best looking ... Valvo E88CC, gold pin, Heerland Holland have a great paint job, apparently good internal design but sound horrible in various ways.
Jules