There are currently close to 3000 packages in state-dependency-failed-testing that can be traced to one or more state-failed-testing packages. That number actually went down quite a bit in the last week, when libgtk2.0-bin passed, clearing hundreds of packages for testing.
There are less than 300 packages in state-failed-testing holding up those tests. The blocking distribution is typically very skewed. At any given time, half of the packages in state-dependency-failed-testing may be held there, directly or indirectly, by 3 to 5 packages. Eliminating libgtk2.0-bin last week exposed libreadline6 as the new top blocker.
# ./piublocker
dependency failed - 2899
failed testing - 274
blocking free cum package
1588 1005 1894 libreadline6
451 35 1854 sgml-data
429 1 1466 docbook-xsl
191 153 1286 texlive-base
155 79 1182 ca-certificates-java
125 106 1071 php5-cli
89 29 1042 gnustep-base-common
60 0 982 gnustep-back0.20
49 6 973 menu
49 4 957 libcommons-httpclient-java
42 0 915 python-ibus
40 15 897 libcommons-beanutils-java
35 34 862 gosa
35 1 827 blends-common
33 33 794 liquidsoap
30 3 791 libspring-core-java
28 20 771 libwebkit1.1-cil
28 1 750 libatinject-jsr330-api-java
26 26 724 drupal6
26 7 703 antlr
24 24 679 cyrus-common
21 13 664 libmx-1.0-2
20 15 645 openssh-client
17 0 630 libhttpclient-java
17 17 613 drizzle
16 16 597 dovecot-core
14 0 597 sat4j
14 6 591 proftpd-basic
14 0 577 libjasper-java
14 11 566 libhttp-date-perl
14 7 559 libgcj-bc
13 4 546 libmono-addins-gui0.2-cil
12 10 535 postfix
12 3 523 libusrp0
12 9 512 libgtkhtml-4.0-common
11 6 501 libncurses5-dev
11 6 490 libgtkglext1
...
This output says that there are currently 2899 packages in state-dependency-failed-testing traceable to a state-failed-testing package (that doesn't exactly match Piupart's count of 2920). 274 packages are responsible for that blocking. More than half of them (1588) are blocked by a single package, libreadline6. 1005 of those packages would be cleared for testing by removing only libreadline6 from the list of blockers. Possibly, at least some of those exposed packages may have blocking numbers in the 1000 range (e.g. 'python' is in that list).
The "cum" shows how many packages are left as each subsequent top blocker is cleared. From that number, you can see that the dependency list could be cut in half by removing the top 4 packages on the list. 80% would be cleared by passing the top 29 packages.
It seems worth the effort to identify and focus fixing the top packages on this list, over time. There should be opportunities for low-hanging fruit whenever the state-dependency-failed-testing list gets over about 1000-1500 entries.