Are there any animals that are unable to hear the human voice?
Are there (apart from those with no sense of hearing at all) any
  animals that are unable to hear human voices at all?


I don't know of any examples off the top of my head, but let's think about this systematically.

The voiced speech of a typical adult male will have a fundamental frequency from 85 to 180 Hz, and that of a typical adult female from 165 to 255 Hz.

These are fundamental tones, and DO NOT include overtones (harmonics) of higher frequencies, that are actually responsible for the timbre of the voice, i.e. its characteristic sound and full content sonic content.

Here is a Fourier transformation of an audio clip of a female voice (a plot of frequency vs. amplitude, whereby the original recording was broken down into its constituent sine waves).



As you can see, the vocal cords produce overtones up to - and beyond - 7.5kHz. These overtones theoretically go to infinity in frequency, but are very negligibly quiet past around 10kHz in our case. Certainly very low in terms of decibels (though do not confuse real decibels with the -70dB sensitivity on the graph; with audio processing gear, 0dB is at which the signal is maximally saturated, or 'clips'). Let's assume 10kHz is the upper limit for normal female speech.

Keep in mind this does NOT mean that one could not perhaps sing a high note, and produce overtones past 10kHz - this is in fact doable. But let's stick with regular speech in our case.

Below you'll find the hearing ranges of some animals (source). 


You'll find that all animals listed (save one) can hear some significant range of a regular (female) human voice. The little brown bat would not be able to hear the upper harmonics of a typical female speaker, given that they speak in a monotone.

Lastly, please keep in mind the difference between decibels ('loudness') and frequency (ability to sense a pitch). Some of the extreme high overtones are very quiet, so even if an animal would be able to sense them, they may not have a sensitive enough ear to pick up how quiet these sounds would be.

And really lastly, remember that sound produces vibrations and resonates through objects that sound waves hit. These resonate at different frequencies, so your voice can be sensed indirectly too through these resonating frequencies.