To add to other answers that will probably suggest some nice, specific software:
Use whatever you are comfortable with. I personally don't think this figure 8 is that special, and I don't even think it has any features that cannot easily be done with something as common as Excel. As also mentioned in some comments: even the potential graphical powerhouse Matlab will produce crappy figures if you use the standard settings. The same for some other "go-to" software packages. But you have to be able to use them.
In almost all of the mentioned software you can adapt (almost) everything, and some default settings look better than others (one of the reasons why Excel has such a bad reputation).
The most important thing is that you decide how a graph should look, and actually make it look like that. Don't settle for default colors / font sizes and line widths! Whatever software you use to get there is your choice.
If you're fluent in MS Office: probably you should just use Excel. If you like to write scripts and use commands instead of clicking everywhere: Matlab might be an option. If spent 3 years getting good at using Graphpad but don't like how the graphs look? Just adapt them to fit your tastes, don't be limited by the default settings.
And when exporting them use the right settings. Many journals accept vector graphics, which will always look better, but the journal has to accept those. Figures also need to be the right size. Everything can look perfect printed 12 cm wide, but when your graph has to fit one column (8.5 cm), the same graph will look too small with unreadable fonts.