This is a quick summary of the things that can be done on different system versions, since lots of newcomers have asked about what they can do with their 3DS consoles. The information refers to sysNAND running on E, U, and J regions, as other regions may have different exploit properties. Supported exploits are in green, unsupported in red, and partially-supported are in orange. Ones that haven't been filled in are ones I'm not too sure about, if anyone has the answers or spots any errors then please let me know so I can update this table.

Updates:
22/01/16
- Added downgrading via hardmod for 10.4+ (thanks Voxel Studios)
23/02/16
- Added 10.6.0-31 entry (thanks Daxtsu)
- Fixed downgrading entry on 4.0.0-7 (thanks Trolling)
- Fixed 6.2.0-12 entry (thanks Voxel Studios)
- Simplified table by combining system versions with same features (thanks Mashers)
27/02/16
- Updated font and general formatting to look prettier
- Added MSET information (thanks Trolling and Ryccardo)
- Extended BrowserHax section to 4.0 (thanks thekarter104)
25/03/16
- Added 10.7.0-32
- Added svchax, OTP extraction, and A9LH
- Extended downgrading to beyond 9.2 (thanks Salamencizer)
- Updated entries for other exploits
10/05/16
- Added 11.0.0-33
- Table is now higher resolution, because reasons
26/06/16
- Added Basehaxx and Freakyhax
- Re-organised items by exploit type
15/10/2016
- Added 11.1.0-34 and updated all entries
- Added BASICSploit, Stickerhax, Supermysteryhax, Humblehax, (V*)hax
- Updated information regarding the use of hard mods and DSiWare for downgrading from recent firmwares
- Fixed a few mistakes (Thanks Gray_Jack)

Old version:

Spoiler

 

[Gray_Jack]

MSET 6.x works on native 6.0 to 6.3 or it requires installation of the MSET(the app, not the exploit)?

 

[NekoMichi]

@NekoMichi
And Ninjhax 2 and OoThax are installable on 11.0 and 11.1 now

Thanks, I'll update the OP when I get home
EDIT: Finished updating the OP.

 

[Gray_Jack]

Thanks, I'll update the OP when I get home
EDIT: Finished updating the OP.

Sorry to bother you again...
But I realized that you put smashbroshax as a secondary entry point, but it is a primary one.
And the browserhax and humblehax doesn't support 11.1.

And I want to ask you, how do you print as image the sheet?

 

[NekoMichi]

Sorry to bother you again...
But I realized that you put smashbroshax as a secondary entry point, but it is a primary one.
And the browserhax and humblehax doesn't support 11.1.
And I want to ask you, how do you print as image the sheet?

Thanks, I've added the corrections. I'm not sure if Excel has a proper "export as image" option, the image was created by taking a screenshot.

 

[Gray_Jack]

Thanks, I've added the corrections. I'm not sure if Excel has a proper "export as image" option, the image was created by taking a screenshot.

Oh, thanks, I managed that using Gimp

So, after my first post here, and before you replied me, I was with insonia and bored and I made my own sheet about this taking yours as inspiration. I made a new separation, put some entry points that yours don't have and I'm adding some info relevant to KOR, TWL and CHN consoles. It isn't complete, but I want you to have a look and see if you like it (not only you of course, but the others too)

And sorry if I made a mistake in the grammar, English is not my first language.

 

[Gray_Jack]

So... I updated the one I made with new explits and 11.2. I'll post the link cause image edit it is a pain.

https://docs.google.com/spreadsheets/d/1W6JOUQqKbpSgdydugQwmHNqYYRSCh4ZT9Mi1xXIRjTk

 

[Gray_Jack]

I just updated the sheet, with the new stuff released these days. Same link