There are a large number of projects that can be done in astronomy. I've separated these into two lists. The first one are projects that I've personally confirmed using data from Wayaway Observatory. The second list are projects that are possible, but not yet confirmed. Eventually, I will confirm every project.
Confirmed Projects
Single (non-variable) Stars
astrometry
photometry (magnitude, color)
seeing (stellar fwhm) measurements (spacial and temporal)
sky background measurements
atmospheric dispersion
Binary / Multiple Star Systems
photometry (magnitudes, colors)
astrometry
position angle(s)
Open and Globular Clusters
astrometry (star distribution)
star density profile
photometry (magnitude, color)
Possible Projects
Variable Stars
temporal photometry (magnitude, color) (example: HW Virginis)
transient events (flares)
Planetary Nebulae
photometry (magnitude, color) of central star
nebula structure
radial profile
Reflection / Emission Nebulae
photometry (magnitude, color) of various regions
nebula structure
Spiral Galaxies
feature astrometry
feature photometry (magnitude, color)
radial profile
shape (major/minor axis, position angle)
spiral structure
Elliptical Galaxies
astrometry
photometry (magnitude, color)
radial profile
shape (major/minor axis, position angle)
Irregular Galaxies
astrometry
photometry (magnitude, color)
radial profile
shape
Asteroids / Planets / Moons
astrometry (sky position, orbit determination)
photomery (magnitude, color, and light curve)
Comets
astrometry (position, orbit determination)
photometry (magnitudes and light curves of components)
profile / shape
transient events (outbursts, breakups)
Novae and Supernovae
astrometry (absolute and relative to host galaxy)
photometry (magnitude, color, and light curve)
Exoplanet Transits
photometry (magnitude, color, and light curve)