In terms of plugins, I use Reaper's stock ReaEQ, ReaComp, JS: 1175, JS: Transient Controller, and ReaVerb.
To give reverb some real-life character, I use IR files from the EchoThief project. The IR files are models of real sound reflections in real spaces.
In terms of tape saturation, I use ChowDSP Chow Tape Model, which is a fantastic open source project originally based on the Sony TC-260 reel-to-reel tape machine. I chose this plugin because it is free and open source.