For the figure:
polymer clay of the desired colours or mixed to the desired colours (I use Fimo Soft )
a toothpick and other sculpting tools you like to use.
brass, copper or other corrosion resistant wire about 1mm diameter, about 1m length.
a drill bit 1mm with a diameter fitting the wire
a sharp hobby knife
fine sand paper (320 to 400 grit)
pencil, paper, cardboard & tape
For the "house":
clear acrylic sheet. I prefer relatively thick sheet, 4 mm, in order to get enough surface for a strong glued joint. I ordered pieces of 90 by 120 mm from www.opitec.com, to save time in cutting. I needed 7 pieces, but I was happy to have order some more to practice.
A saw suitable for acrylic sheet (on for metals usually is)
waterproof clear glue for acrylic sheet (e.g. Acrifix® 192 by Evonik Industries at www.opitec.com).
non-stick (baking) paper
a piece of right angled profile to use as a gluing jig
coarse sanding paper (60 to 80 grit) and/or a large hand-file
a couple of cm of clear acrylic tube, about 0.5 to 1 cm diameter.
a drill and drill bit with the same diameter as the tube.
a funnel fitting the tube
some masking tape
Instead of making a house or another clear container you can also buy “snow globes” from the range of Fimo accessories.
To fill it up:
a drop of dish washing detergent
“snow globe snow” (available from EberhardFaber, as is Fimo)
water clarifying agent for snow globes (Fimo accessories, I guess it's optional, but if you want people to enjoy your work for a long time...)