Non-realtor here. Abq is a diverse city. You are asking the question in the wrong way. It should be what crime ridden areas should I avoid. For example, one of the safest areas in Abq is Four Hills in the SE. It backs up to Kirtland AFB and is a great middle class area. It has aged but the lots are large - .45 acre.
Another great area in the SE is the new development Manzano Mesa - also next to Kirtland AFB. Unfortunately, there are bad spots - usually the apartment complexes. Also a very safe area is the North Valley in the NW but on the east side of the river.
Areas I would avoid is the university area but south of the university, north are fabulous homes. But then again there is the country club area in the south that has old homes and parks and is a safe area.
Another area to avoid is the State Fair area and south of Central down to Kirtland AFB. But there is a great area by the VA hospital on Ridgecrest road.
In the NE, west of Tramway are bad neighborhoods but then again that same area has Tanoan, Peppertree, and Academy Estates. And I would say avoid the 'Old Town' but there is some gated million dollar homes there too that are safe.
Rio Ranch is much the same - I am just not familiar with it.
I know this sound wierd but dont worry about safety. Focus instead on vicinity to work, size of home and schools (even that can be a non-factor is you can use private schools). Sadly, it is the price of homes that can determine the safety. The newer homes have alarm systems and are avoided by criminals. Most of the crime is in the poorer neighborhoods.
Find the area near your work, then find the square footage home you want, then visit. You can tell as you drive around the neighborhood.
The crime statistics seem bad but remember that Washington DC had the worst murder rate in the nation and some of the safest neighborhoods in the world. I lived there for years and jogged at night safely. You have to get boots on the ground, not something the computer data can show accurately.