Synonymous idiom for "more x than you can shake a stick at"

Solution 1:

We're swimming in [noun]

Also, if you wanted to express that you have so much of something that it's causing an issue, you could say:

We're up to our ears/eyeballs/chin in [noun]

or

We can't move for [noun]

Here's an example of the last expression's use in literature:

Chimera teems with leather driving gloves and woolly jumpers. We can't move for all the socks and scarves. They drift here in their thousands.

Gomm, P. (2014) Chimera

Solution 2:

There are truckloads of answers to this question: s--tloads. I bet you can find tons if you look around. You can't throw a stone without hitting one. They are a dime a dozen, really.

Solution 3:

Two similar idiomatic phrases come to mind:

  1. from here to the moon;
  2. enough X to choke a horse (or choke something else large, with a big mouth).

Examples from the wild:

Baker and gang are searching for any excuse to blame Israel for world-wide Muslim Terror and particularly in Iraq. Baker is willing to chew noxious bubble-gum and stretch it from here to the moon in his effort to convert terror in Iraq over to Israel.

(From THINK-ISRAEL BLOG-EDS, "Happy New Year".)

enough to choke a horse
A huge or excessive amount. When my grandmother cooks for family gatherings, she always makes enough to choke a horse!

[Farlex Dictionary of Idioms. S.v. "enough to choke a horse." Retrieved February 3 2016 from http://idioms.thefreedictionary.com/enough+to+choke+a+horse ]

A common variant of the 'choke a horse' is

enough to sink a ship Also, enough to sink a battleship. A more than sufficient amount, as in They brought enough food to sink a ship. [; mid-1900s ]

[enough to sink a ship. Dictionary.com. The American Heritage® Dictionary of Idioms by Christine Ammer. Houghton Mifflin Company. http://dictionary.reference.com/browse/enough to sink a ship (accessed: February 03, 2016).]

If whatever it is you have a lot of is distasteful in some way, another variant phrase is

enough to gag a maggot
adverb phrase
Very disgusting; repulsive : His excuse was enough to gag a maggot. / "Oh, gross," Lou Ann said. "Gag a maggot!" (1970s+)

[enough to gag a maggot. Dictionary.com. The Dictionary of American Slang. http://dictionary.reference.com/browse/enough to gag a maggot (accessed: February 03, 2016).]