This paper provides a comprehensive survey of higher derivative supergravities in dimensions ranging from 1 to 11. It reviews various construction methods, including the Noether procedure, superspace, superform method, superconformal tensor calculus, $S$-matrix, and dimensional reduction. The focus is on the bosonic parts of invariants and the supertransformations of fermionic fields, with an emphasis on finding supersymmetric solutions. The paper also discusses the role of duality symmetries in the context of $R^4$, $D^4 R^4$, and $D^6 R^4$ invariants. Key topics include the construction of higher derivative supergravities in different dimensions, the application of these theories to black hole physics, AdS/CFT correspondence, and cosmology. The paper highlights the importance of local supersymmetry and duality symmetries in the context of effective field theories and UV completeness. It concludes with a discussion on the relevance of these invariants to potential UV divergences and counterterms in supergravities.This paper provides a comprehensive survey of higher derivative supergravities in dimensions ranging from 1 to 11. It reviews various construction methods, including the Noether procedure, superspace, superform method, superconformal tensor calculus, $S$-matrix, and dimensional reduction. The focus is on the bosonic parts of invariants and the supertransformations of fermionic fields, with an emphasis on finding supersymmetric solutions. The paper also discusses the role of duality symmetries in the context of $R^4$, $D^4 R^4$, and $D^6 R^4$ invariants. Key topics include the construction of higher derivative supergravities in different dimensions, the application of these theories to black hole physics, AdS/CFT correspondence, and cosmology. The paper highlights the importance of local supersymmetry and duality symmetries in the context of effective field theories and UV completeness. It concludes with a discussion on the relevance of these invariants to potential UV divergences and counterterms in supergravities.