Try Nebula3, and there programs with sampled tape machines, channel strips or complete consoles.
Try good emulations of analog gear like the T-Racks3 Pultec.
But the thing begins earlier at mixing. If you use only clean sounding plug-ins the result will also be clean
You can also try to put a limiter, like the Sonnox Limiter, on every track. First to compress a very small amount of the peaks and on the other side with the "enhancer" enabled to add some harmonics. This is not to make something louder, its to emulate a bit this different behavior of an analog signal chain. If you have enough CPU power you can also insert on every track a channel emulation or with Nebula3 such a console channel program.
But... There is not one magic plug-in. Its a combination of plug-ins and a bit knowledge. Most of the analog gear also had a rolloff in the highs. So thats often why people saying its "warmer" sounding. So you can say: too much highs too much digital sounding


