You are not going to find such a table. There are a several problems with this concept.
(1) You're talking about expressing the stress-energy in terms of its components in a certain coordinate system. But the same spacetime can be described using infinitely many different coordinate systems, none of which is preferred.
(2) This also isn't going to work because we don't normally have a unique solution for a given stress-energy tensor. For example, the simplest stress-energy is the vacuum, and this happens to be one that we can write in a coordinate-independent way, $T=0$. But there are many vacuum solutions, including a flat spacetime, a flat spacetime with a nontrivial topologies, the Schwarzschild spacetime (maximally extended or not), spacetimes containing $n$ black holes, and all kinds of gravitational wave spacetimes.
(3) There are very few closed-form solutions to the field equations, so we wouldn't normally be able to write down the metric.
To get more of a feel for this, you might want to look at Stefani et al., Exact Solutions of Einstein's Field Equations.