Hi Massimo! This one has similarities / relatedness for a large number of word pairs: https://staff.fnwi.uva.nl/e.bruni/MEN
I would also soon be able to share with you the individual-level similarity ratings of this: Preprint Structural differences in the semantic networks of younger a...
You can also use this space (from a news and wiki English corpus) to compute similarities: http://psicoee.uned.es/quantumlikespace/especifications/ASSE_CompareWordToWord.aspx
You just have to make a GET request with the word pairs as:
Kind of late to answer this, but just in case, I think these two sources might be helpful:
1) https://smallworldofwords.org/en/project/research which is described in the following paper:
De Deyne, S., Navarro, D.J., Perfors, A. et al. The “Small World of Words” English word association norms for over 12,000 cue words. Behav Res 51, 987–1006 (2019). https://doi.org/10.3758/s13428-018-1115-7
2) The USF Free association norms: http://w3.usf.edu/FreeAssociation/AppendixB/index.html described in this paper:
Nelson, D.L., McEvoy, C.L. & Schreiber, T.A. The University of South Florida free association, rhyme, and word fragment norms. Behavior Research Methods, Instruments, & Computers 36, 402–407 (2004). https://doi.org/10.3758/BF03195588
To anybody who still finds this valuable, I attach two links for databases providing concept property norms (1) and semantic similarity estimates derived from various corpuses using LSA, word2vec, and BERT algorithms (2)