For rock, big band, jazz and some classical, regardless of whether you pick the Rega or the Epos speakers, I suggest plenty of power, in specs but more importantly in parctice. The Naim and Ayre amps would go nicely with the Rega speakers, but I can also vouch that the Naim amps will also sound wonderful with the Epos M16i as well.
$2000-3000, from smooth to detailed
NAD Masters Series M3
Vincent SV-236 MkII
Naim Nait XS (lower power rating, but real good)
Creek Destiny
Bel Canto e.One S300iu
T&A Power Plant
Over $3000
Ayre Acoustics AX-7e (lower power, but also real, real good)
Luxman L-505u
Naim Supernait
Musical Fidelity A5.5
ATC SAI2-150
Plinius 9200
$2000-3000, from smooth to detailed
NAD Masters Series M3
Vincent SV-236 MkII
Naim Nait XS (lower power rating, but real good)
Creek Destiny
Bel Canto e.One S300iu
T&A Power Plant
Over $3000
Ayre Acoustics AX-7e (lower power, but also real, real good)
Luxman L-505u
Naim Supernait
Musical Fidelity A5.5
ATC SAI2-150
Plinius 9200