Tokai makes the FB-45, which is a nice copy of
a Gibson Firebird V (5th edition) with chrome mini humbuckers and stoptail bridge. They're Korean-made and you can get 'em for around $550 USD from a couple of Canadian Tokai dealers.
Epiphone now has
a Firebird Studio LE (Limited Edition) with all the goodies... set mahogany neck, mahogany body, standard-size alnico humbuckers, etc. They're going for only $399 and are disappearing quickly, as it's a limited run model. Reviews on the Epi
Firebird Studio LE have been excellent. You might want to check around for availability. I'm GAS'ing for one myself!
Burny (Japanese-made) makes an excellent Firebird copy, but they're quite pricey for a copy, usually in the $700 to $900 range. They're also hard to find in the USA and were mainly sold in Japan.
There's also the "Orville by Gibson" Firebirds which were Gibson-authorized copies made in Japan. But these are also kind of pricey and hard to find.
There's a cheapie, Chinese-made Firebird copy by Wolf guitars, but it's pure crap. Stay away from that one.
Jackson made a bunch of Firebird copies, too. But they're all waaay overpriced and have bizarre looking finishes on them.
Jay Turser also made a Firebird copy up until last year, but they've discontinued them. The build quality on these Korean-made copies varied immensely. Some people claimed they were real nice, while others complained of protruding frets, poor finishes and electronic issues (bad pots and wiring).