How powerful would an explosion have to be for its effects to be felt worldwide? If an explosion were to occur at any point on earth, how powerful would that explosion have to be for it to be audible or otherwise detectable by every person on the planet? Detection could mean either seeing or hearing the blast or feeling the tremors created by the shock wave.
Bonus question: is any such explosion possible without it destroying the planet, the atmosphere or wiping out all life on earth?

A rough estimate puts the average distance between most antipodes on land at just shy of 20 000 kilometres. 
The largest nuclear bomb ever detonated, Tsar Bomba, had a yield of 50-58 megatons of TNT and was detectable almost a 1000 km away, according to Wikipedia:

The heat from the explosion could have caused third-degree burns 100
  km (62 mi) away from ground zero. A shock wave was observed in the air
  at Dikson settlement 700 kilometres (430 mi) away; windowpanes were
  partially broken to distances of 900 kilometres (560 mi). Atmospheric
  focusing caused blast damage at even greater distances, breaking
  windows in Norway and Finland. The seismic shock created by the
  detonation was measurable even on its third passage around the Earth.

The most powerful volcanic eruption known was that of Mount Tambora in 1815. Classified as Volcanic Explosivity Index 7 (note that it goes up to 8) with an estimated yield of 800 Mt, it was heard about 2 600 km away. 

On 5 April 1815, a moderate-sized eruption occurred, followed by
  thunderous detonation sounds, heard in Makassar on Sulawesi 380 km
  (240 mi) away, Batavia (now Jakarta) on Java 1,260 km (780 mi) away,
  and Ternate on the Maluku Islands 1,400 km (870 mi) away. On the
  morning of 6 April, volcanic ash began to fall in East Java with faint
  detonation sounds lasting until 10 April. What was first thought to be
  the sound of firing guns was heard on 10 April on Sumatra island more
  than 2,600 km (1,600 mi) away.

The Wikipedia page on TNT equivalents list some interesting events but branches off into seismic and cosmic events after the entry for the Tsar Bomba.
So, is it possible to go bigger?
 A: You can use this website to calculate the effects of impacts. If you take the distance to be 20,000 km, projectile diameter to be 10 km, the density to be 3000 kg/m^3, impact velocity 30 km/s, impact angle 45 degrees and target type sedimenatary rock, then you get this result, the only big effect is the airblast:

The air blast will arrive approximately 16.8 hours after impact.
  Peak Overpressure: 1670 Pa = 0.0167 bars = 0.237 psi
  Max wind velocity: 3.91 m/s = 8.75 mph
  Sound Intensity: 64 dB (Loud as heavy traffic)

This means that you could reduce the  1.69 x 10^8 MegaTons TNT somewhat and still have an audible result on the other side of the planet.
A: To add to Count Iblis's Answer and answer your question:

is any such explosion possible without it destroying the planet, the atmosphere or wiping out all life on earth?

Count Iblis's scenario  is almost the same as the Chicxulub impactor, which was an explosion yielding about $7×10^{23}{\rm J}$. I'm sure that the paleontonological consensus is that the vaporized impactor rained down over the whole Earth, lighting forest fires everywhere. 
In the sense that the bigger, Chicxulub blast did not wipe life on Earth out (we're still working on this site, for example), then clearly you can have an impact with hearable effects everywhere on Earth without wiping life out. 
But I suspect if you were a late Cretaceous, non avian dinosaur anywhere on the planet, forest fires all around you would be more than a little "detectable", even though you haven't included them in your list.
I suspect that the site Count Iblis links unintentionally gives a somewhat misleading picture of effects. I have no reason to doubt its accuracy on the direct sound and seismic effects, but the phrase "Little rocky ejecta reaches this site; fallout is dominated by condensed vapor from the projectile." still leaves room for untold catastrophe everywhere within ninety minutes of impact as suborbitally thrown, vaporized impactor set fire to everything flammable: the site tells me that about half the melt of the impact stays in the crater, but presumably the other half is scattered elsewhere, as described by the foremost opinions amongst paleontologists. In any case, the effects longer term were profound to say the least, so this also suggests that one can have an impact that cannot be heard or felt at your position on Earth and yet still make life very difficult for you in the years after the impact. The relatively puny 1883 Krakatoa eruption - six orders of magnitude less energetic - dropped global temperatures by $1.2^\circ{\rm C}$ the following Summer.
