> On machine that connects, settings are:

> IP 192.168.0.4
> IPv4 Subnet: 255.255.255.0
> Default gateway 192.168.0.1
> DNS settings obtained automatically
>
>
>
> On machine that doesn't connect, settings are:

> IP 192.168.0.25
> Subnet 255.255.255.0
> Default gateway 192.168.0.1
> DNS: 4.2.2.2
> Alternate 4.2.2.1

as you've probably already noticed - your DNS is screwed up -
checkmark the "obtain automatically" like on the one that works....
It looks like the router is acting as a DNS proxy,
so the DNS address will/should point to the router -> 192.168.0.1