Note: I am assuming that ANIMEFUSHIGI.COM is your domain name from the screenshot.
The name servers of the domain NS1.ANIMEFUSHIGI.COM and NS2.ANIMEFUSHIGI.COM do not resolve.
dig NS1.ANIMEFUSHIGI.COM
; <<>> DiG 9.7.3 <<>> NS1.ANIMEFUSHIGI.COM
;; global options: +cmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: SERVFAIL, id: 50694
;; flags: qr rd ra; QUERY: 1, ANSWER: 0, AUTHORITY: 0, ADDITIONAL: 0
;; QUESTION SECTION:
;NS1.ANIMEFUSHIGI.COM. IN A
;; Query time: 637 msec
;; SERVER: 4.2.2.2#53(4.2.2.2)
;; WHEN: Fri Feb 24 10:15:50 2012
;; MSG SIZE rcvd: 38
dig NS2.ANIMEFUSHIGI.COM
; <<>> DiG 9.7.3 <<>> NS2.ANIMEFUSHIGI.COM
;; global options: +cmd
;; Got answer:
;; ->>HEADER<<- opcode: QUERY, status: SERVFAIL, id: 10472
;; flags: qr rd ra; QUERY: 1, ANSWER: 0, AUTHORITY: 0, ADDITIONAL: 0
;; QUESTION SECTION:
;NS2.ANIMEFUSHIGI.COM. IN A
;; Query time: 411 msec
;; SERVER: 121.242.190.181#53(121.242.190.181)
;; WHEN: Fri Feb 24 10:16:21 2012
;; MSG SIZE rcvd: 38
When you mention you've moved your website, did you move the DNS of the domain as well ? If yes, then you'll need to configure DNS on the new server.
If the DNS is on the same server and only the website has been moved, then you'd have to only change the DNS A record of the domain leaving everything else intact.