Here are my thoughts:
1- There was a deep love in his eyes. ] Fine but some people might find it a little literary.
2- There was an anger in his eyes. ] As #1.
3- There was a brooding jealousy in his eyes. ] As #1.
4- She gave a wonderful performance. ] Fine!
5- We need to take an action. ] Not fine! remove the “an”.
6- There was an understanding between them. ] Fine!
7- There was a massive understanding between them ] Perhaps a little surprising. You do hear “massive understanding”, but usually in the “intellect” sense, not the “empathic” sense.
1a- There was deep love in his eyes. ] Fine; though perhaps reminiscent of romantic or melodramatic fiction.
2a- There was anger in his eyes. ] Fine.
3a- There was brooding jealousy in his eyes. ] As #1.
4a- She gave wonderful performance. ] Not fine! Keep the article.
5a- We need to take action. ] Fine!
6a- There was understanding between them. ] Not as usual as #6. It might sound odd to most speakers.
7a- There was massive understanding between them ] As 6a.
However, other members may have other thoughts!
All the best,