Can't connect to some sites.

[#1]

Problem started around 11pm 29/10. Although I can connect to some sites normally, others take ages to load whilst some just time out. Carried out all the troubleshooting checks on both my Billion 8800NL router and the PlusNet/Openreach equipment, both the same. PC is connected to the router by cable and the wireless connection on my mobile is working but has the same problem.  I have raised a support ticket but in the meantime I wondered if anyone is experiencing similar problems or has any brilliant ideas as to what the problem may be. Thanks.
Len

[#2]

What websites are you struggling to get on?
Any chance you can provide a traceroute?

[#3]

Matthew,
Here's a traceroute for a site I can't reach:
C:\WINDOWS\system32>tracert pocketgpsworld.com
Tracing route to pocketgpsworld.com [95.142.159.205]
over a maximum of 30 hops:
  1    1 ms    <1 ms    <1 ms  dsldevice.lan [192.168.1.254]
  2    34 ms    34 ms    34 ms  lo0.10.Central10.pcl-bng04.plus.net [195.166.130.177]
  3    35 ms    34 ms    34 ms  irb.10.PCL-CR02.plus.net [84.93.249.82]
  4    *        *        *    Request timed out.
  5    *        *        *    Request timed out.
  6    *        *        *    Request timed out.
  7    *        *        *    Request timed out.
  8    *
and one for I site I can:

C:\WINDOWS\system32>tracert forums.evga.com
Tracing route to a1195.g1.akamai.net [212.56.73.143]
over a maximum of 30 hops:
  1    <1 ms    <1 ms    <1 ms  dsldevice.lan [192.168.1.254]
  2    34 ms    34 ms    34 ms  lo0.10.Central10.pcl-bng04.plus.net [195.166.130.177]
  3    35 ms    34 ms    34 ms  irb.10.PCL-CR01.plus.net [84.93.249.81]
  4    35 ms    34 ms    34 ms  cache.akamai.com [212.56.73.143]
Trace complete.
Thanks.
Len

[#4]

Matthew,
A further one to a site I can get to eventually:
C:\WINDOWS\system32>tracert nforcershq.com
Tracing route to nforcershq.com [108.160.148.58]
over a maximum of 30 hops:
  1    1 ms    <1 ms    <1 ms  dsldevice.lan [192.168.1.254]
  2    34 ms    34 ms    34 ms  lo0.10.Central10.pcl-bng04.plus.net [195.166.130.177]
  3    35 ms    34 ms    34 ms  irb.10.PCL-CR02.plus.net [84.93.249.82]
  4    36 ms    35 ms    35 ms  195.99.126.98
  5    35 ms    35 ms    35 ms  109.159.249.149
  6    35 ms    35 ms    35 ms  62.6.201.167
  7    35 ms    34 ms    35 ms  213.137.183.38
  8  128 ms  120 ms  119 ms  166.49.208.121
  9    *        *        *    Request timed out.
10  122 ms  121 ms  121 ms  blt1-ar3-xe-0-0-0-0.us.twtelecom.net [66.192.245.134]
11  122 ms  122 ms  122 ms  199.227.4.198
12  114 ms  114 ms  113 ms  144.202.254.42
13  114 ms  114 ms  114 ms  144-202-238-253.baltimoretechnologypark.com [144.202.238.253]
14  114 ms  114 ms  114 ms  144.202.227.20
15  114 ms  114 ms  114 ms  108.160.148.58
Trace complete.

Len