Obviously there are many ways you can handle this, and to a degree it's a factor of your information design abilities and preferences.
Natural Data Groupings
What I would do is try to organize your data into a small number of "buckets." You state that the data are too dissimilar to be arranged into a sentence, but it's likely you can create a few logical groups. Since we can't see all your data, I'll guess that you have information about a person (email, name, ID?), about some sort of event (dates? type?), or maybe about some kind of object related to the person (orders? classes?). Whatever they are, some of the data will be more closely related to each other than others.
Designing in Chunks
Take each loose "bucket" and design a kind of "plate" -- a grouping just for the information in that bucket. The design problem within this constrained chunk is easier to tackle: maybe it's a little table-like layout, maybe it's something non-tabular, like the stackoverflow user "nameplate". Maybe long textual data have their own plates, or maybe they're grouped into a single plate, but with a preview/detail click-for-more arrangement.
Using a Grid
Now that you have a small number of "plates," go back to a grid-like approach for your overall search result row design. Arrange the plates as units within the row, and be sure to keep them aligned. Following an overall grid (HTML table or otherwise) for the plates will avoid an "information soup" problem. You'll have clean columns that scan well, and a readable, natural information hierarchy. The natural language example you cite would indeed be difficult to parse if it were one of many rows displayed in a search results grid.
Consistency
Be sure to use a common "design vocabulary" when you're working on the chunks -- consistent styling of labels, consistent spacing... so when everything's displayed, despite the bulk of information, it all feels like it's part of the same family.
It's an interesting design exercise. Many comps, lots of iteration, and some brainstorming should get you where you need to be.