The list I've given them is as you'd expect rather extensive.

I'll give you some of the highlights and if there are any you'd like to expand on, please do.

Corporation Mail Archive
Corporation Mailing lists (with subscriptions)
User created mail folders
All lists sortable by name, date, subject, sent, received etc etc
Multiple selection of mails for deletion
Chat admin including, muting, kicking blocking by Individual, corp or alliance
Granting of titles
Granting and creation of permanent medals
Automation of welcome mails
Corporation wallet overall. With divisions, automatic payment of bills and full transaction history, sortable by time, amount, kind, payee, recipient.
Shared corp fittings
Ability to fund and store militia & standard grade fits in hangers for newer players to use
Corp dividend and Corp Tax cap for players who pay a lot of it

One concept I'd like to explore if at all possible is a new Corp Skill Tree, incorporating Corp wide skill bonuses paid for by the generation of a new Corp LP system. Similar to the FW LP system but banked into a separate pool by the actions of a corps members, squading up, donating money to other players, earning ranks and titles. The corp CEO would then be able to spend these Corp LP on a bonused skill tree.

For example, a corp wide armour regen skill granting an extra 1% regen to all members per level. Or a salvage skill, enabling a similar increase per level in members loot drop percentage. Increasing the bling in a members quarters....

These are some of the ideas I've already proposed in various emails, essays and Trello boards.