I am analyzing a randomized trial, and aiming at appraising the impact of a given treatment on a non-fatal outcome, followed occasionally by death. I am thus conducting an event-free survival analysis with a time-dependent covariate (a preceding event). This can be easily modeled with Cox proportional hazard analysis.
However, I am not sure which is the best graph to describe such time-dependent survival analysis.
After some research, I have recognized that there are at least three possible alternatives: a landmark survival curve , a time-dependent Kaplan-Meier curve , and a Simon-Makuch plot  (based on the Mantel-Byar testing procedure ).
There is also a related post in CV: Visualize survival analysis with time dependent covariates.
Which is the best graph to depict this scenario? My packages of choice would be R or Stata.
Dafni U. Landmark analysis at the 25-year landmark point. Circulation: Cardiovascular Quality and Outcomes 2011;4:363-71.
Ying Z, Wei LJ. The Kaplan-Meier Estimate for Dependent Failure Time Observations. Journal of Multivariate Analysis 1994;50:17-29.
Simon R, Makuch RW. A non-parametric graphical representation of the relationship between survival and the occurrence of an event: Application to responder versus non-responder bias. Statistics in Medicine 1984;3:35-44.
Mantel N, Byar DP. Evaluation of responsetime data involving transient states: an illustration using heart-transplant data. Journal of the American Statistical Association 1974;69:81-6.