When I lived in England I had a couple of allotments which was quite fun. I lived in a small house with a small garden so this was my only chance to grow anything. I had a smallish allotment in the beginning which was perfect and then a couple years after getting that one I took on another allotment 4x the size.
When taking on the large allotment, much to the dismay of the gentleman who ran the allotment, I refused to double dig as I had watched people do this on another allotment and was horrified by the amount of time it took them to do. I decided I would use half to grow potatoes and the other half for winter squash. I had heard that growing potatoes can help fight out the weeds. For the squash I put down black plastic and cut holes for the squash, again to suppress the weeds and keep the roots and soil underneath warm.
Weeds, especially bindweed, was a constant battle even with this approach. Every weekend I spent hours weeding and each weekend I returned there were more weeds.
When I moved to Seattle and bought a house with some land I think the fear of weeding led me to build my 30 inch high raised beds (also I needed them high enough to keep the rabbits out). Raised beds are not ideal for potatoes, onions etc. as I could not grow the quantity that I would find satisfying.
At the same time I have developed a system to ensure that I am getting massive amounts of vegetables and fruits for the space I have. The key to keeping the raised beds as productive as possible is to start the seeds in containers rather than sowing seeds in the beds. Vegetables like radish can't be done this way but most fruit and vegetables can. The benefit is that when you gain space after harvesting a crop, you have a ready supply of new plants to put in. This works so well for lettuce, spinach and other salad crops. I even start beans and peas in pots and plant them out when appropriate. When it comes to peas I plant the seedlings and then sow another pea seed close by for succession planting in the same space.
By using this approach my raised beds are pretty much full and productive 100% of the time (from May - October)!