I haven't seen CLICS before but it seems to be one solution to your question. You have to click on a word to get its subgraph, then you can hover over an edge to see all the languages that colexify the two nodes of that edge. (I tried clicking on a specific language, and while data is presented there are no visualizations for just that language.)
You'll probably also find some results by searching "lexical (semantic) typology". Typology is studying cross-linguistic variation and tendencies, classifying them by features (and not genetically), such as: which/how many languages have the same word for arm/hand (WALS). The "Lexicon" chapters may be relevant, but probably don't have nearly as much data as is present in CLICS. You may have better luck looking at specific semantic spaces; for example, a good deal of work has also been done on color terms. Data is downloadable from the site and lots of papers are linked, but I haven't found any good visualizations (besides perhaps this Vox video?). Spatial representation is another area of study, especially with adpositional terms (in, on, around, near): here's some example visualizations. For general lexical typology, there's also a course on coursera, and they also do some visualizations.
This probably isn't exactly what you wanted, but I'm not sure if there's an easy answer (it would depend on what languages, semantic spaces, etc. you're interested in). Hopefully this gives you something to work with and explore though.