Parade: very long running mag; many models per mag, usually just a single pic. The names are largely full names & accurate (non-invented), although some models went under multiple names. However, the mag has occasionally mixed up models, e.g. swapped the names of two models in an issue. In the 1970s the mag changed its style completely, and most models only got a single name, which was largely unreliable. (The mid-1970s Parade is a different mag altogether, as is the mag launched in the 1980s.)
Carnival: similar to Parade, again a big content change in the 1970s. Also guilty of
model mixups.
Escort (until 1971): also connected to Parade, less error-prone though. The modern Escort, launched in the 1980s, is a different mag.
Men Only: another long-running mag that changed its style several times; its 1960s incarnation I would rate similar to Escort, for naming quality.
Girl illustrated: most models are given full (and accurate) names, though the same caveat about multiply-named models applies here too. When models are given only a single name it means very little though (this pre-dates page-3). Naming errors are quite rare. There is visibly a change in style from volume 5 onwards and that also aversely affected the reliablity of its namings. A visual clue is the amount of text accompanying a pictorial: perversely, a lot of text means it's mostly bogus.
Girls of the World: in the early issues most models are given full names. Many (but not all) of these are made-up, mostly to accommodate the "...of the world" claim of the mag's title, i.e. like its contempories the mag largely draws on models from the UK, France, Germany, Scandinavia, Italy, and then often rebrands them as belonging to remote parts of the world, with an obscure name to match. Later issues would move to mostly give models single (all invented) names; a few were still given full names which were sometimes accurate.