Surveys, textbooks, and Lecture notes:
[Cieliebak-Eliashberg] From Stein to Weinstein and Back
[Hofer-Zehnder] Symplectic Invariants and Hamiltonian Dynamics
http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&ved=0CCwQFjAA&url=http%3A%2F%2Fbooks.google.com%2Fbooks%2Fabout%2FSymplectic_Invariants_and_Hamiltonian_Dy.html%3Fid%3DuycWAu1yY2gC&ei=xKFGUJCEI6Th0QHsj4AY&usg=AFQjCNGgYQFQwR9wpw2RfIdOJ9vuXLUzCw&sig2=cveKfAjbV2FbOVF76enV0Q&cad=rja[Oancea] A Survey of Floer Homology for Manifolds with Contact Type Boundary or Symplectic Homology
[Salamon] Lecture notes on Floer homology
[Seidel] A biased view of symplectic cohomology
[Wendl] A Beginner's Overview of Symplectic Homology
Research papers:
[Abbondandolo-Schwarz] On the Floer homology of cotangent bundles
[Cieliebak] Subcritical manifolds are split
[Eliashberg-Gromov] Convex symplectic manifolds
[Oancea-K] The Kunneth formula in Floer homology for manifolds with restricted contact type boundary
[Ritter] Topological quantum field theory structure on symplectic cohomology
[Viterbo] Functors and computations in Floer homology with applications. I Warning: It might be better to find the GAFA publication, in which the figures are displayed.