TIE Bombers have bright blue
flashing bombs. They appear to carry several of them; their yield seems
low, although they have a blast radius of 5-10 meters and are very
bright.

Although
low in yield for bombs, the VFX suggest a multiple-gigajoule range,
well
above the 10-100 megajoule range suggested for AT-AT chin guns.

Handblasters are less powerful - 10-250 kilojoules.
More certain is that ISDs may fire high kiloton to low megaton level
turbolaser bolts with a reasonable accuracy at distances of a few
kilometers at the rate of several shots per second.
They also have weapons that can successfully bombard a planet's surface
from orbit, although not through a shield. Planetary ion cannons may
accurately hit an Imperial Star Destroyer at a range of somewhere from
at least 5,000 km, although the ion bolts do not appear to be
particularly fast.

The bombs
in question produce a bluish-white burst. This suggests either certain
particular chemical reactions, or a burst of high temperature gas, also
known as a fireball. If the latter, a 10-100 gigajoule range of energy
yield would be appropriate given the relatively small size of the
blast.
We do not see any lasting effects to the surfaces of the asteroids
being
bombed, though, suggesting either a specialized class of weapon, a far
less harmful weapon, or an unusually durable asteroid.

AT-ATs fire bolts that, curiously enough, fail to vaporize large
craters in the snow, although occasionally plumes of steam may be
seen. As even very cold ice will flash vaporize when confronted
with several 3-3.6 kilojoules per gram, we may estimate the yield by
examining the size of the plume and the size of any divot blasted in
the
packed snow.
The plume of steam is roughly ten feet high and nearly as wide; any
divot blasted out of the ice field is not more than a foot or so on a
side, however. We may readily suggest that 10-100 megajoule blasts were
being used by the AT-ATs to hunt Rebel troops.
Landspeeders used by the Rebels appeared unable to damage the AT-ATs
with their guns; as tanks and battleships are traditionally designed to
resist no more than their own main armament, landspeeder blasters
should
have no more than a 100 megajoule yield per shot.

Blasterfire
made these holes in the wall:
How much firepower was needed to blast (and scorch) these divots is not
entirely clear. In general, the size of the craters suggests firepower
equivalent to a modern-day anti-material rifle or elephant gun (e.g.,
~6-30 kilojoules of muzzle energy) but the material of the wall is
unknown, and the scorching left by the blasters could indicate up to an
additional order of magnitude of firepower. Accounting for all these
factors, a final estimate of 10-250 kilojoules per shot is quite
reasonable.

The
turbolasers of an ISD may readily blast small asteroids using mid-sized
bolts. The scaling of the particular asteroids is uncertain; however,
it
is universally agreed that the largest asteroids blasted fall between
15 and
75 meters in diameter. Few if any are larger than the Falcon, which is
commonly cited as 26 meters in length.
The energy required to outright vaporize these asteroids is therefore
between a kiloton and 2.3 megatons; any energy substantially in excess
of outright vaporization would be expressed in a more energetic
explosion.
One longer bolt is seen exiting an asteroid after its detonation; this
suggests it may have several times the potency needed to blast entirely
through the asteroid.
Small bolts than those used on the asteroid field are seen striking the
Falcon. It is unclear what their yield is, but we may reasonably
estimate that it is less than that of the medium bolts, somewhere in
the gigajoule or terajoule range.
It is possible to arrive at a noticably higher yield for them than the
larger asteroid-blasting bolts (see link, left) by assuming them to be
massless lightspeed weapons (i.e., actual lasers rather than physical
bolts).