Kambiz Kamrani at Anthropology.net mentions this site of a colleague and also his own dedicated page on human fossils. Both are very interesting and, using their data, I made some maps in order to better understand the chronology of recent human evolution in the range between 1.3 million years ago (oldest estimate for Neanderthal-Sapiens divergence, cf. Aida Gómez) and 60,000 years ago, when the expansion of these two species towards Asia was surely already in action.
As Asian fossils, excepted West Asia, are not relevant for my purpose (they are all Homo erectus senso lato with no transition happening there at all) I have used a base map that only includes the Western parts of the Old World.
Note: I used median ages but, when these overlapped too much with two of my arbitrary time frames, I placed them in the two relevant maps (check for safety but they are likely to be the same specimen.

1. 1.3 million years to 800,000 years ago:

While most of the findings are Homo erectus (purple dots), the likely first known individuals in the H. sapiens and H. neanderthalensis lines appear already, at the end of the period, at Atapuerca (H. antecessor) and Saldanha Bay (H. rhodesiensis).
2. 800-600,000 years ago:

We can appreciate in this period an expansion of H. rhodesiensis to the Horn of Africa and transition to H. heidelbergensis at Atapuerca (c. 600,000 years ago according to fossilized.org).
3. 600-400,000 years ago:
The expansion of Homo heidelbergensis becomes apparent in this period. Restricted to Europe however. Notice how in spite of these changes there are still many specimens categorized as H. erectus around the Mediterranean.4. 400-200,000 years ago:

While it looks a dull map on first sight, most significant here is the existence of a fossil that may be transition between H. rhodesiensis and H. sapiens. This one is Lake Eyasi, in Tanzania (red-orange hue, not easy to appreciate possibly), dated to c. 240,000 years ago.
5. 200-60,000 years ago:

Whoa! Everything goes a lot faster now: Neanderthals and Sapiens everywhere! Well, each in their specialized area: Sapiens in and around the tropics, Neanderthals in the fresh regions of the North. Even the map caption becomes small as the earliest Neanderthal and Sapiens fossils (controversial chronology) show up in Central and East Asia respectively. I reflected this with a mere two color-coded arrows.
The oldest uncontroversial fossil of H. sapiens is Omo II (c. 195 Ka ago), followed by Herto (Idaltu) and Jebel Irhoud, in Morocco (both c. 160 Ka ago).







