Genes that were once functional but no longer are are called pseudogenes (as Corvus pointed out in the comments).
Many genes that are similar today (homologs) are hypothesized to have come from duplication events in the past. In most cases, these duplicates diverge. The divergence can happen in several ways:
1) one retains the original function while the other obtains a novel function
2) a dosage response occurs where both (keeping the original function) become necessary for that function
3) one retains its function while the other loses all functionality.
This third group are the pseudogenes. This isn't the only way pseudogenes come to be, but it is probably the most well-characterized.
There are several resources for lists of these. I'll just point you in that direction. I assume you are interested in a particular group (i.e. genes important in development or patterning), so that you can dig more deeply into: