Bulk Pagerank checker - Check several domains or website at a time. So far I submitted hundreds of domains at a time and it worked.

This tool doesn't check for fake pagerank.   

Bulk Alexa Rank checker - Check several domains or website at a time. This tool doesn't check for fake pagerank.

Fake pagerank check - Cheks for fake pagerank accurately. Shows IP and URL of real website the studied domain is redirected to in the case of fake pagerank (by 301 redirect). 

UrlTrends - Seems to show real pagerank rather fake one. Shows the number of incoming Alexa links for checked domain/website as well as the Archive.org score. Evaluates domains monthly as it said therefore sometimes shows old data (for number of backlinks, Alexa rank). However it is the tool that SEDO is using to analyze domains for potential buyers.

Multiple pagerank checker - Checks pagerank for up to 100 domains at a time. Works faster than Bulk Pagerank Checker however its capacity is limited to 100 domains.

Multiple Backlink Checker - Allows bulk backlink check (up to 10 domains at a time).

Easy way to check for fake pagerank: in Google, type "info:http://yordomain". If pagerank is faken, Google will show URL of real website this pagerank belongs to. Good tool to check for 301 redirect.

Easy way to check if website is banned/indexed in Google: In Google, type "site:http://yourdomain". If website was indexed in Google before and Google doesn't return any results, this website is banned. Doesn't work for new website and newly registered expired domain if domain was registered not long time ago.