Yes, apart from potassium iodide which is commonly used as a catalyst in the decomposition of hydrogen peroxide, $\ce{Fe^3+}$ salts, manganese dioxide and nickel hydroxide can be used as a catalysts as alternatives. Since, iron nitrate contains $\ce{Fe^3+}$, it can be used as catalyst.
There are some papers that discuss the use of $\ce{Fe^3+}$ salts as catalyst. Following is the relevant information from the papers:
- Paper 1
We should consider the role of the Ferric Chloride ($\ce{FeCl3}$)
as catalyst in the decomposition reaction of hydrogen peroxide.(...)
The fact is that Iron can exist in two different oxidation states,
$\ce{Fe^2+}$ (Ferrous) and $\ce{Fe^3+}$ (Ferric), allows the catalyst
to break the reaction into two different redox steps, each of which
has a lower energy barrier to completion than the uncatalyzed
reaction:
$$\ce{H2O2(aq) + 2Fe^3+(aq) -> O2(g) + 2 Fe^2+(aq) + 2H+(aq)}$$
$$\ce{H2O2(aq) + 2 Fe^2+(aq) + 2 H+ (aq) -> 2H2(l) + 2Fe^3+(aq)}$$
Note the first step in the catalyzed reaction involves reduction of
the Ferric Ion ($\ce{Fe^3+}$) to the Ferrous Ion ($\ce{Fe^2+}$), which
is then re-oxidized to Ferric Ion ($\ce{Fe^3+}$) in the second step.
Hence, on net, the catalyst is not consumed during the course of the
decomposition.
- Paper 2
$\ce{Fe^3+}$ ions is actually a homogeneous catalyst. The catalytic
decomposition of hydrogen peroxide can be essentially explained by two
different mechanisms based on the mutual redox transition
Fe(III)/Fe(V) (KREMER-STEIN mechanism) and Fe(III)/Fe(II) (HABER-WEISS
mechanism), respectively.
According to the mechanism proposed by KREMER and STEIN an
intermediate oxygen complex of iron with oxidation number +V is
primarily formed by the reaction of $\ce{Fe^3+}$ with $\ce{H2O2}$.
This complex reacts with another $\ce{H2O2}$ molecule to water and
oxygen thereby reforming $\ce{Fe^3+}$.
$$\ce{Fe^3+ + H2O2 <=> [Fe^{III}OOH]^2+ + 2H+ <=> [Fe^{V}O]^3+ + H2O ->[H2O2] Fe^3+ + 2H2O + O2}$$
According to the mechanism proposed by HABER and WEISS the $\ce{Fe^3+}$ ions
initiate a radical reaction, after which the chain reaction consumes
the hydrogen peroxide. This mechanism can explain the high reaction
rate very well.
Chain initiation: $\ce{Fe^3+ + H2O2 <=> [Fe^{III}OOH]^2+ + 2H+ <=> Fe^2+ + HOO. + H+}$
Chain propagation: $\ce{Fe^2+ + H2O2 -> Fe^3+ + 2OH.}$
$\ce{Fe^3+ + H2O2 + OH. -> Fe^3+ + HOO. + H2O -> Fe^2+ + H+ + O2 + H2O }$
Answering the update
Yes, manganese dioxide can also be used as a catalyst. From paper 2:
Manganese dioxide is an example for a heterogeneous catalyst.
The surface of solid manganese dioxide provides a particularly
favorable environment to catalyze the decomposition, though the
mechanism is not understood very well. (...)