I am assuming you want a 2-channel rig and will not need to support multi-channel audio (such as 5.1 or a center channel).
Look at something like a Hegel H160 integrated. You can get these used for a really good price. You can still feed optical toslink from your TV, but make sure the TV is set to output 2-channel PCM (not Dolby Digital).
For responsive speakers, Monitor Audio Silver come to mind, but there are many. Since you are going to RAMF, I would listen to as much as you can that's within your budget. There are many great solutions out there.
Subwoofers are great, but they do have their own challenges. Towers are usually more cohesive for music. But subwoofers can be placed better if you want more bass and home theater effects.
If you want something that will handle or decode multi-channel audio, you will likely need to look at a receiver or a HT Processor. It can get expensive if you are wanting quality.