Good job! A while ago I did some statistics based on the The Balanced Corpus of Contemporary Written Japanese to find the most common vocab with non-WK kanji and 繋がる was indeed the top one!
Well actually it was a bit messy because the BCCWJ always use the kanji form of words in there frequency list, so the actual top one were all dumb stuff like この、その、ここ、ある etc in kanji. But after manually removing all those kind of word (marked “usually written in kana alone” on jisho), the list was the following:
Top 50 vocab from BCCWJ with non-WK kanji
繋がる
頷く
掴む
覗く
溢れる
呟く
繋ぐ
揃う
窺う
溜まる
辿る
噛む
揃える
晒す
溜め息
拭く
薔薇
曖昧
完璧
剥く
騙す
辿り着く
潰す
繋がり
蘇る
焚く
囁く
破綻
馴染む
遡る
馴染み
溜める
覗き込む
撫でる
睨む
這う
石鹸
微塵
嫉妬
腫瘍
麻痺
怯える
潰れる
賑やか
躊躇う