I have:
libsdl-image1.2
libsdl1.2debian
libsdl1.2debian-alsa
libsdl-console
libsdl-gfx1.2-4
libsdl-mixer1.2
libsdl-net1.2
libsdl-pango1
libsdl-perl
libsdl-sound1.2
libsdl-ttf2.0-0
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The reason that I asked about the error message is that, before I attempted to compile and run Gearhead 1, I had a problem in several other graphical games. I don't remember the precise error message, but it was a runtime rather than a compilation error, and it had to do with my graphics card (a legacy NVidia card). This was fixed (following some instructions I found after some googling) by making some changes to my /etc/X11/xorg.conf file. Since it affected a lot of other graphical games, it may be that the same problem would have affected Gearhead had it still been there.
Unfortunately, I don't remember precisely what those changes were. I think it involved setting the depth (section Screen, subsection Display) to 24, but I could be wrong. Still, if you're hitting a runtime problem, perhaps my /etc/X11/xorg.conf file could be helpful.