Heh, there are many things we can do this weekend if people wish to roll up their sleeves. 
1)Create a more accurate test map.
It is beyond my abilities
2)Research Random AI.
Does it affect unit cap? Favorite Civic? Do traditional zealots spam missionaries still?
3)Research Teamed AI.
Who votes for whom with UN? How much do AI value Tech trades?
4)Grand strategy:
Can anything but dom/conquest win gold vs. Plastic Ducks on Emperor?
I can take a swing at #1. With what we know about the game settings, we might be able to whittle down the 33 possible maps down to a more reasonable number to guess which map type was used. This is mostly an exercise in futility due to worldbuilder, but I will try anyway.
If I was making Wizard of Oz, I'd pick Fantasy Realm
. However, our map looks sane, while fantasy is usually bat-crazy insane.
All 33 map types: http://forums.civfanatics.com/showthread.php?t=246788#boreal
Maps that can be eliminated because Flat setting is impossible to select:
Ice Age
Tilted Axis
Big and Small
Earth 2
Hemispheres
Medium and Small
Tectronics
Temperate and Low Seas does not eliminate any maps not already eliminated. (Darn the mapmaker!)
The number of land tiles we have (1321, thnx Sun Tzu!) only eliminates one map, the ultra-small Team Battleground that Tachywaxon mentioned (which started this post). That map tops out at 1024 total tiles.
There, whittled 33 maps down to 25!
After that, it is time to make some educated guesses.
I can't imagine we are on a Great Plains map with 19 land tiles being the most land heavy BFC of them all.
Being on a Rainforest map also stretches the imagination, looking at our starting location.
The remaining 23 maps are:
I will try to whittle down the maps further by removing those that don't ever average around 1321 land tiles, and then those where the 8 AI never start with between 14 to 18 BFC land tiles.

1)Create a more accurate test map.
It is beyond my abilities
2)Research Random AI.
Does it affect unit cap? Favorite Civic? Do traditional zealots spam missionaries still?
3)Research Teamed AI.
Who votes for whom with UN? How much do AI value Tech trades?
4)Grand strategy:
Can anything but dom/conquest win gold vs. Plastic Ducks on Emperor?
I can take a swing at #1. With what we know about the game settings, we might be able to whittle down the 33 possible maps down to a more reasonable number to guess which map type was used. This is mostly an exercise in futility due to worldbuilder, but I will try anyway.
If I was making Wizard of Oz, I'd pick Fantasy Realm

All 33 map types: http://forums.civfanatics.com/showthread.php?t=246788#boreal
Maps that can be eliminated because Flat setting is impossible to select:
Ice Age
Tilted Axis
Big and Small
Earth 2
Hemispheres
Medium and Small
Tectronics
Temperate and Low Seas does not eliminate any maps not already eliminated. (Darn the mapmaker!)
The number of land tiles we have (1321, thnx Sun Tzu!) only eliminates one map, the ultra-small Team Battleground that Tachywaxon mentioned (which started this post). That map tops out at 1024 total tiles.
There, whittled 33 maps down to 25!

After that, it is time to make some educated guesses.
I can't imagine we are on a Great Plains map with 19 land tiles being the most land heavy BFC of them all.
Being on a Rainforest map also stretches the imagination, looking at our starting location.
The remaining 23 maps are:
Spoiler :
Aboria
Archipelago
Balanced
Boreal
Continents
Custom Continents
Donut
Fantasy Realm
Fractal
Global Highlands
Highlands
Hub
Inland Sea
Islands
Lakes
Maze
Mirror
Oasis
Pangea
Ring
Shuffle
Terra
Wheel
Archipelago
Balanced
Boreal
Continents
Custom Continents
Donut
Fantasy Realm
Fractal
Global Highlands
Highlands
Hub
Inland Sea
Islands
Lakes
Maze
Mirror
Oasis
Pangea
Ring
Shuffle
Terra
Wheel
I will try to whittle down the maps further by removing those that don't ever average around 1321 land tiles, and then those where the 8 AI never start with between 14 to 18 BFC land tiles.