Gibbs Free energy of a reversible reaction
In general, any expression for $G$ will by necessity have a dependence on $T$, if only through the explicit incorporation of temperature in $G = H - TS$. 

Looking at the Calphad (Calculation of Phase Diagram) community, they go further. Referring to A.T. Dinsdale, "SGTE Data for Pure Elements", CALPHAD 15(4) 317-425 (1991), they state, for the purposes of defining $G$ for the elements: 


  The Gibbs energy is represented as a power series in terms of temperature $T$ in the form:
  $ G = a + bT + cT \ln(T) + \Sigma d_{n}T^{n}$


From the definition of $G$, $S$, and $H$ one can then get:

$S = -b-c-c\ln(T)-\Sigma nd_{n}T^{n-1}$ and

$H = a-cT-\Sigma (n-1)d_{n}T^{n}$

So, one sees, given the chosen representation for $G$, that both $H$ and $S$ should depend on $T$ unless $G$ can be represented in a very simple form (only $a$ and $b$ being non-zero). Since Dinsdale uses a more complex power series, one can rest assured that $G$, even for the elements, tends to be rich in temperature dependence.