As discussed quite a while back in this forum, the 777, A330 and A340 are not efficient as freighters. Instead, they are much more fuel efficient (and perhaps cost efficient) in carrying passengers. Therefore, I doubt if even ANY carrier would choose to order the freighter versions of these aircraft.
The MD-11 is not that case. Although it does not fit into LH's fleet, it offers an option to routes that do not suffice a 747 but the A300 or A310 would not be large enough. In fact, a few of LH's MD-11Fs are flying for SAS Cargo.