For one thing, without quantum mechanics you would be vaporized by light from the sun. Actually more realistically there couldn't be a sun or anything else, everything would be boiled into a highly energetic plasma.
Quantum effects are tied to Planck's constant $h$. We are used to thinking that the 'classical limit' $h\rightarrow 0$ is always a good approximation of the world we live in. And usually that is true. However there are a handful of cases where actually taking this limit really would be catastrophically bad.
The example I have in mind is blackbody radiation, which describes the spectrum of light emitted by a perfect absorber/emitter in thermal equilibrium. The CMB is a blackbody, the sun is approximately a blackbody, you are sort of a blackbody, any time you heat something and it glows you are directly observing blackbody-like behavior. The spectrum of blackbody radiation is described by Planck's famous distribution. [To read more see http://en.wikipedia.org/wiki/Black_body].
The key point is that the maximum frequency emitted by the blackbody is given by
\begin{equation}
\nu_{max} = \frac{\alpha kT}{h}
\end{equation}
where the irrelevant constant is $\alpha = 3 + W(-3/e^3)\approx 2.8$ where $W(x)$ is the Lambert W function.
Notice that if I try to send $h\rightarrow 0$, $\nu_{max}\rightarrow\infty$!! This is known as the ultraviolet catastrophe. If we made $h$ a bit smaller, the max frequency emitted from the sun would be pushed deep into the UV and cook us.
More examples of this: (1) if we send $h$ to zero then atoms could not be stable (for example the Bohr radius $a_0 \sim h$ would simply shrink to 0), (2) semiconductors (and thus the laptop you are presumably reading this on) could not exist because you could not have band structure without $h$, (3) the decay rates of nuclei would become zero and so we couldn't have nuclear reactors, and the earth would be cooler because it is partly heated due to nuclear decay.
Of course, even in situations where $h\rightarrow 0 $ is a good first approximation, precision is its own reward and quantum mechanics is crucial to being able to have a quantitative understanding of any object past a certain level of precision.