Adobe Security Bulletin APSB15-16 for Adobe Flash Player describes multiple flaws that can possibly lead to code execution when Flash Player is used to play a specially crafted SWF file.
Quoting from the APSB15-16:
These updates resolve heap buffer overflow vulnerabilities that could lead to code execution (CVE-2015-3135, CVE-2015-4432, CVE-2015-5118).
These updates resolve memory corruption vulnerabilities that could lead to code execution (CVE-2015-3117, CVE-2015-3123, CVE-2015-3130, CVE-2015-3133, CVE-2015-3134, CVE-2015-4431).
These updates resolve type confusion vulnerabilities that could lead to code execution (CVE-2015-3119, CVE-2015-3120, CVE-2015-3121, CVE-2015-3122, CVE-2015-4433).
These updates resolve use-after-free vulnerabilities that could lead to code execution (CVE-2015-3118, CVE-2015-3124, CVE-2015-5117, CVE-2015-3127, CVE-2015-3128, CVE-2015-3129, CVE-2015-3131, CVE-2015-3132, CVE-2015-3136, CVE-2015-3137, CVE-2015-4428, CVE-2015-4430, CVE-2015-5119).
Note that CVE-2015-5119 is already tracked via a separate bug 1240832.
The Bulletin also describes the following issue:
These updates resolve null pointer dereference issues (CVE-2015-3126, CVE-2015-4429).
It does clarify if these are limited to crash as most NULL pointer dereference issues, or can have higher impact.
This issue has been addressed in the following products:
Supplementary for Red Hat Enterprise Linux 5
Supplementary for Red Hat Enterprise Linux 6
Via RHSA-2015:1214 https://rhn.redhat.com/errata/RHSA-2015-1214.html
On Jul 17, 2015, APSB15-16 was updated with additional CVE-2015-5124:
These updates resolve memory corruption vulnerabilities that could lead to
code execution (..., CVE-2015-5124).
July 17, 2015: Updated to include an additional CVE (CVE-2015-5124) resolved
in these updates but inadvertently omitted from the bulletin.