Murren is world famous for the James Bond movie that used the Shilthorn - Piz Gloria lift station as the base for the main villian.
I have stayed twice at the Hotel Eiger in Mürren, and found it to be one of the best hotels I have ever stayed in. Very friendly efficient staff - especially the restaurant manager, great food, nice rooms.
Have not stayed there since March 2020, because of the doubling of the cost, probably due to the £ to CHF currency rate, or the loss of money due to Covid.
Skiing is extensive and the area is linked to Wengen.
I really dislike pitzas, but there is a piste-side restaurant just down from the Murren train station that does these fantastic very thin crisp-like bases. Still hate pizas but not theirs.
My only issue is that the link between the rail station, which mainly serves one side of the resort; and the cable car station, which mainly serves the other side of the resort, is by foot, so can be tedious, long and boring.