For displaying atmospheric soundings the use of Skew-T Log-P diagrams is very common. The manual THE USE OF SKEW T, LOG P DIAGRAM IN ANALYSIS AND FORECASTING from the Air Weather Service explains what this diagram is and how it can be used. What tools are available to create Skew-T Log-P diagrams and how do they differ?
Skew-T Log-P diagrams can be plotted in most mathmatics software. I have seen examples in Matlab (and by proxy Octave), GrADS, NCL, IDL and I have my own code in Python that generates Skew-T plots. There are also some programs such as NSHARP and BUFKIT that are more full featured. You can also find websites that plot forecast soundings such as twisterdata and real data soundings.
The major variances arise from the specific use case of whoever wrote the code you are using. The most basic code will generally be able to tell you the lifting condensation level (LCL), level of free convection (LFC), equilibrium level (EL) and perhaps the 500 mb lifted index, all for a surface parcel.
The more advanced code will generally be able to calculate the above quantities not just for surface parcels, but also for the mixed layer and be able to find the most unstable parcel. Convection oriented code will give you CAPE, storm tops and other severe weather parameters and will also tend to be able to analyze the hodograph. BUFKIT can do analysis to identify snow growth levels and some other winter weather related quantities.
One of the subtle differences in skew-T plotting software is how they handle the moist adiabats. This can be modeled as a fully reversible process or a pseudo reversible process and this produces subtle temperature differences aloft on the adiabat. There can also be differences in whether the moist adiabat only considers liquid water and vapor, or if ice process are included in the latent heat release.
Here is an example of what my Python code produces:
Var SFC ML MU CAPE J/kg 1877 1877 2415 CIN J/kg 46.9 46.9 0.4 LI_max -9.5 -9.5 -11.3 LI_500 -7.3 -7.3 -8.4 LI_30 -4.8 -4.8 -6.4 TOPS m 14800 14800 15400 LCL mb (m) 892 (1000) 892 (1000) 862 (1292) LFC mb (m) 831 (1604) 831 (1604) 857 (1343) PRS mb 1000 1000 871