After a dozen crossings on this route, I've come to appreciate that the Miami to Manchester corridor is one of the more logistically interesting transatlantic routes for premium travelers, since there's no reliable nonstop service—American Airlines, British Airways, and Virgin Atlantic all route passengers through their respective hubs. That means business class from Miami to Manchester typically involves a connection through London Heathrow, Philadelphia, or Charlotte, with the Heathrow routing via British Airways or American's joint venture partnership generally offering the smoothest experience for those prioritizing seat quality. British Airways' Club Suite, with its sliding door and direct aisle access, has rolled out across much of their long-haul 777 and A350 fleet, though it's worth confirming aircraft type before booking, since older Club World cabins still fly certain rotations. Virgin Atlantic's Upper Class, particularly aboard the A350 with its Loft social space, remains my personal favorite for the transatlantic leg if your itinerary can be arranged through London Gatwick or Heathrow with a connecting flight up to Manchester.
The insider move here is booking the MIA–LHR–MAN routing with enough connection time at Heathrow to use the Galleries Club or Concorde Room (depending on carrier and status), rather than rushing a tight domestic-style connector up to Manchester—British Airways' short-haul shuttle flights use a completely different, simpler cabin, so don't expect lie-flat seating on that final segment. American's routing through Philadelphia can work well for oneworld loyalists, especially given generous connection windows and Admirals Club access, though I'd avoid Charlotte connections during winter months when weather delays are more common.
Seasonally, January through March and again in October and November tend to yield the best business class availability and value, as Miami's winter tourist surge doesn't overlap with UK leisure demand, giving airlines more incentive to release premium inventory. Given how much these fares fluctuate week to week, I'd strongly recommend setting up automated fare alerts rather than manually checking, since the sweet spots on this route tend to appear and disappear quickly.