Torque Magnetometer [ https://en.wikipedia.org/wiki/Magnetometer#Torque_Magnetometry ] => Though, it is sometimes included as an additional option on a VSM [ http://www.microsense.net/products-vsm-torque-magnetometer.htm ]
In the case of iron (Sn, etc.) you can also use CEMS measurements (conversion electron mössbauer spectroscopy). Also heat capacity measurement is a good technique to support magnetic ordering temperature (by magnetic enthalpy and entropy).
Depending on the kind of films it can also be magnetic induction and magneto-optical methods (based on the change of the polarization state of transmitted or reflected from the sample light: the effects of the Kerr and Faraday, including magneto-optical Kerr ellipsometry, MOKE), torsion magnetometer, magnetic force microscopy
All depends on which "magnetic properties" you are interested in. For example, to investigate magnons you would most likely opt for some spectroscopic instruments/methods, including optical (visible), far infrared, terahertz, or even acoustic (usually in ultrasound range). You may be also interested in magnetostriction, Barkhausen noise, magnetization response to electric field, domain wall mobility, spin currents, skyrmions, ...
In addition to all these techniques, I would like to mention synchrotron techniques like x-ray absorption, XMCD and resonant x-ray scattering/diffraction. This is a powerful tool and gives element specific magnetic information.
If one wants to spend alife time characterising it is possible these days. However one should have a specific motivation in either preparing a material or in looking for specific properties. The suggestions found here could be a life time work for many people. finally what us he material studied and why should be the main preoccupation is such forums. Sorry if I have hurt any one.