Superphosphate is a name used in agriculture, therefore, it does not mean the same super in the superoxides. There are two important types of fertilizers in agriculture: Nitrogenous and phosphatic fertilizers. Superphosphate is an one of major segments in phosphatic fertilizers, which is described as follows (Ref.1):

The primary products of the phosphatic fertilizers industry are phosphoric acid, ammonium phosphate, normal superphosphate, and triple superphosphate. Phosphoric acid is sold as is or is used as an intermediate in producing other phosphatic fertilizers. Monoammonium phosphate is favored for its high phosphorous content, while diammonium phosphate is favored for its high nitrogen content. Normal superphosphate has a relatively low concentration of phosphorous, however it is used in mixtures because of its low cost. Triple superphosphate provides a high concentration of phosphorous, more than 40% phosphorous pentoxide.

Normal or ordinary superphosphate fertilizers (NSP) are produced by reacting phosphate rocks with sulfuric acid (for this reason, NSP retains its importance in wherever sulfur efficiency limits crop yields). Normal orsuperphosphate fertilizers are refer to the fertilizer material containing 15-21% phosphorus as phosphorus pentoxide ($\ce{P2O5}$). NSP contains no more than 22% of available $\ce{P2O5}$ (Ref.1).

Triple superphosphate fertilizers (TSP) are produced by reacting ground phosphate rocks with phosphoric acid. Triple orsuperphosphate fertilizers are also known as double, treple, or concentrated superphosphate. The phosphorus content of TSP is over 40% measured as phosphorus pentoxide ($\ce{P2O5}$), which is its major advantage over other phosphatic fertilizers (Ref.1).

Note: To my knowledge, there are no other names such as supernitrates in fertilizer industry or agriculture, to tell the least.

References:

1. Nicholas P Cheremisinoff, Paul E. Rosenfeld, "Chapter 1: Industry and Products," Handbook of Pollution Prevention and Cleaner Production, Vol. 3: Best Practices in the Agrochemical Industry; 1st Edn.; Elsevier Inc.: Oxford, United Kingdom, 2011, pp. 1-24 (https://doi.org/10.1016/B978-1-4377-7825-0.00001-7).

Superphosphate is a name used in agriculture, therefore, it does not mean the same super in the superoxides. There are two important types of fertilizers in agriculture: Nitrogenous and phosphatic fertilizers. Superphosphate is an one of major segments in phosphatic fertilizers, which is described as follows in Ref.1:

The primary products of the phosphatic fertilizers industry are phosphoric acid, ammonium phosphate, normal superphosphate, and triple superphosphate. Phosphoric acid is sold as is or is used as an intermediate in producing other phosphatic fertilizers. Monoammonium phosphate is favored for its high phosphorous content, while diammonium phosphate is favored for its high nitrogen content. Normal superphosphate has a relatively low concentration of phosphorous, however it is used in mixtures because of its low cost. Triple superphosphate provides a high concentration of phosphorous, more than 40% phosphorous pentoxide.

Normal or ordinary superphosphate fertilizers (NSP) are produced by reacting phosphate rocks with sulfuric acid (for this reason, NSP retains its importance in wherever sulfur efficiency limits crop yields). Normal or superphosphate fertilizers are refer to the fertilizer material containing 15-21% phosphorus as measured as phosphorus pentoxide $(\ce{P2O5})$. NSP contains no more than 22% of available $\ce{P2O5}$ (Ref.1).

Triple superphosphate fertilizers (TSP) are produced by reacting ground phosphate rocks with phosphoric acid. Triple superphosphate fertilizers are also known as double, triple, or concentrated superphosphate. The phosphorus content of TSP is over 40% measured as phosphorus pentoxide $(\ce{P2O5})$, which is its major advantage over other phosphatic fertilizers (Ref.1).

Note: To my knowledge, there are no other names such as supernitrates in fertilizer industry or agriculture, to tell the least.

References:

1. Nicholas P. Cheremisinoff, Paul E. Rosenfeld, "Chapter 1: Industry and Products," Handbook of Pollution Prevention and Cleaner Production, Vol. 3: Best Practices in the Agrochemical Industry; 1st Edn.; Elsevier Inc.: Oxford, United Kingdom, 2011, pp. 1-24 (https://doi.org/10.1016/B978-1-4377-7825-0.00001-7).