Ok, so I've learned a few things from this.
1) Elliquiy uses some different BBCode from the general SMF format.
2) Tables are easily broken. I've tried posting several table codes - from complex down to simple - and the board keeps screwing them up. Only the most simple one survived (a 4 cell table with the numbers 1, 2, 3, and 4 in them).
If you're like me and find keeping track of code much easier if it's color-coded, here's a bit of text that you can save as an .xml file, then import into Notepad++ - http://pastebin.com/ambtrwdg
If you don't have Notepad++, you can get it here for free - http://notepad-plus-plus.org
Here's a screenshot that shows you how to import the language file from within Np++ - https://elliquiy.com/elluiki/images/d/df/NpPP-BBCodeLang-Import.jpg
Step 1: Open the "Language" menu and click "Define your language"
Step 2: Click "Import"
Step 3: Choose the .xml file you saved the pastebin text as
Step 4: Make sure to click on the language name from your "Language" menu in order for Np++ to use it, after you've imported the file.
The udlanguage color-codes tags nested within delimiters (and the delimiters, themselves - see pink-circled areas on screenshot) and highlights independent brackets - (, [ , <, etc. - (see green-circled area on screenshot). It includes all of the BBCode options for Elliquiy (some of which might be outdated, so they're there just in case).
I tried to sort the delimiters into color-coded groups based on how they function and what they do (e.g. all link-related tags turn blue). If you want to change how they're arranged or colored, it isn't hard to do.
Simple tags like hr, li / *, b, i, and so on turn red and have an increased font size so that they're easier to spot.
Sidenote #1: If you want to change how the operators and delimiters work together, avoid adding = to anything. It breaks all of the relationships.
Sidenote#2: I know that Np++ might only be helpful to a few people, but I find it very useful. The built-in WYSIWYG here on the forums doesn't always save all of the code used (try making an advanced table or list and then hitting modify), so keeping things straight for diagnosing things and being certain of exactly what you're putting in requires saving your text in an outside program. If you're going to do that anyway, it might as well be in something that makes it easier to check your work for errors.
Sidenote #3: If you want to only have some content nested, you can click on the "Styler" button (which is where you change colors for everything) and deselect the things you don't want nested.