It is possible you just have amazing sensitivity to guitar sounds and sims can't meet it, but more likely there's something about your setup that's an issue. I find Amplitube 3 to be extremely good. So some possibilities:
1) Speakers. As noted, they need to be competent to reproduce the range of tones you want. If you have itty bitty desktop speakers that are competing with a huge guitar amp, well then they aren't going to sound near as good. So the question is, do your speakers sound good for guitar that's been recorded from an amp or not? If they sound good there, but not on the sim, then they probably aren't the problem. However if you mic and record an amp and the playback on your speakers is dissatisfying, well then that's likely the culprit.
2) For live guitar recording, the input matters. Do you have a proper input that is working well, and is setup for a guitar? This means capturing without digital distortion, or crackling, or skips or whatever. Make sure you check the dry track and that it sounds clean. If not, then you need to fix that. Also, a mic or line input isn't suitable for a guitar. Mic inputs are generally 600 ohms, line inputs in the 10k ohms range. Guitar inputs need to be like 400k ohms minimum and usually more around 1M ohm. If you don't have one of those really high impedance inputs it snarfs up the highs and sustain and makes your sound very dead. So you either need a card that has an input that can be switched to a high impedance mode for guitars, or you need a DI box to give the guitar a high impedance input and convert it to low impedance for your soundcard.
3) For sampled guitar, the quality of samples matters a lot. The Strawberry Electric Guitar is the one I've tried that makes me the happiest. Direct Guitar 3 is also decent, but noticeably inferior. So if you are using a sampled guitar and it isn't EEG Strawberry, maybe look at getting that. I particular if you are using samples they MUST be dry, feeding already amped signals in to an amp sim never gives good results in my experience.
4) Gain staging can matter with an amp sim. While with many FX gain doesn't matter much in the digital domain since floating point math allows for tons of headroom, that's not the case with amp sims. You need to make sure the signal level going in is appropriate, not too loud not too soft. Mess around with that some, see if it helps. I find a good sample like Strawberry is already at a good level, but others might not be.
5) If there's too much high harmonics for your taste, try what Craig Anderton suggested: Toss a steep EQ on the signal BEFORE it goes in to the amp sim. Put like a 48dB/oct lowpass filter at 4-5k using Pro Channel or another EQ before it goes in to the amp sim.
When given a good signal, I'm amazed at how good Amplitube sounds personally.