That's the reason I bought the Grandmeister....

It has Reverb, Chorus, Phase, Tremelo, and Delay all built in....
Really nice ones too...I also got the Footswitch contoller, which is 
very kewl...

I play live on 18 watts, and still blow away my other guitar players
100 watt JCM2000...this thing is a beast!!!

S-Gear, PositiveGrid both BIAS FX Pro and BIAS AMP Pro.
 
I got rid of my Line 6 HD500X and rarely use my Eleven Rack boxes anymore.  I would love a Helix but I can't justify the cost.

Amplitube 4 and TH2 and 3 for in the box. Threatening to get BIAS. Quick and dirty live or sessions finds my POD HD500X direct to the board or usb to the computer with the Spdif set for clean to a separate track. Making the jump to Helix shortly.

clintmartin
 
For sims I prefer S-Gear 2.52, and Amplitube 4

cclarry
^^^What he said...

^^^ what Lars said

Lots of great and viable options are already mentioned. But without Audiffied AmpLion the list is somewhat incomplete. Check the video in my signature.

They all have strengths and weaknesses.
 
Guitar Rig is great in so many ways.  The interface is clear and easy to navigate.  The routings and modulations are ridiculously flexible.  There are a lot of great effects.  You can get under the hood to unlock a bunch of options (such as how many stages your phase shifter has, or adjust the bias of your amp sim).  
 
It's shortcoming is that the amp simulations are mediocre.
 
S-Gear has great amp sounds, but a limited selection.  Their amps are "inspired by", not "branded", so if you have to have a model of a specific amp you might not like it.  Also, if you are a Vox fan, it's not the one for you (yet).  It does not have a large selection of effects either, but the ones they included sound good.
 
Amplitube 3 has really good cabinet simulation (most other use cabinet impulses).  It has a huge selection of amps and effects, most of which are officially licensed.
 
However, Amplitube has a few issues.  First, with the "photorealistic" rendering of the effects, it can sometimes be hard to see where the knobs are set because of glare from the simulated lighting.  Also, I prefer to be able to see everything on one page, and with it you have stompboxes on one page, amps on another, cabs on another, post-effects on another.  In addition, I'm not crazy about the reverbs.
 
 
 
 

For obvious reasons, I don't like amp sims. I can't fix them.
 
From a sound standpoint I think that S-Gear is amazing for the price. It doesn't emulate anything but does a great job. If you really like the classic Fender blackface sound Amplitube is hard to beat. They really nailed that sound. I don't use use it myself but the tone is real good.

I agree with most of the comments above, I think that you are best to start with the type of amp/ sound that you want  and work from there. Each developer seems to have strengths and weaknesses.
 
For me Bias FX is now my go to because it has the best Vox sound in my opinion. Unfortunately Vox does not seem to get much love from amp sim developers.
 
For fender I would agree that Amplitude or S-gear are the best on that front.
Amplitube are also great for the orange tones.
 
I don't go for heavy sounds so cannot comment on those.
 
The other big part of getting the best sound for me has been getting some great Impulse responses to match with the amp sim.
I have a selection of Redwire IR's and use them with great effect.

A couple other ideas. Depending on your amp, you can record out from it (and unplug speakers from the head unit) to get your amp without bothering the neighbors. With a DI box you can capture the dry signal as well. The wet signal is baked making certain edits much more difficult after the fact, but is a viable option.

As far as amp sims go, I also use GR because of its interface, but in reality you can apply any FX chain (you have effects for) to any audio signal. Being all in one VST is convenient, but not required.

Crowned One
For me Bias FX is now my go to because it has the best Vox sound in my opinion. Unfortunately Vox does not seem to get much love from amp sim developers.

 
Bias totally markets to the mega gain crowd so heavily that I started to wonder if they were trying to distract people from their clean/midrange sounds not being any good.  I may have to check them out.