CashBase has a web app, an iPhone app and an Android app, all sync'ed up.
It doesn't integrate with banks automatically, but you can import bank statements as CSV.
Disclosure: Filip is CashBase's founder.
money.stackexchange.com/users/3804/Filip
neobudget.com is a website that does exactly what you are describing.
It is set up for electronically using the envelope system of budgeting.
Disclosure: neobudget was founded by a former coworker of mine.
money.stackexchange.com/users/2640/David Oneill
MoneyStrands is a site very similar to Mint, but does not force you to link bank accounts.
You can create manual accounts and use all features of the site without linking to banks.
money.stackexchange.com/users/921/Slavo
SavingsMap is a web-based personal finance forecasting tool that requires no bank account or personal information other than an email address.
As founder of SavingsMap, our goal is to forecast future cash flows based on your current budget, while using strategies to minimize US tax obligations and taking into account expected major life events.
money.stackexchange.com/users/7675/SavingsMap
I don't think Xero Personal does.
I have my bank account in there, but since there's no automatic feed for the bank I use
I imported it manually.
I entered the bank by hand, so I think you could use it without listing a bank account at all.
money.stackexchange.com/users/3628/Mariette Knoblauch
PocketSmith is another tool you might like to consider.
No personal banking details are required, but you can upload your transactions in a variety of formats.
Pocketsmith is interesting because it really focus on your future cash flow, and the main feature of the interface is around having a calendar(s) where you easily enter one off or repetitive expenses/income. http://www.pocketsmith.com/
money.stackexchange.com/users/4274/Simon
Out Of The Dark OOTD is a budgeting and personal money management web app that does not require you to give out access to your bank accounts or even your personal identity.
It's a great tool for people with no financial experience with features like Cash Put-Aside and the Credit Card Debt Terminator and it has tons of instant guides explaining how to use every feature.
You can check it out at myootd.org.
money.stackexchange.com/users/6629/Hareiana
I realize that similar questions have been raised, especially regarding Mint and Quicken Online, but my question is this:  Is there web-based personal finance software that does not require you to register an online bank account within the software?  I really want the ability to do personal finance online, without having to reveal any personal or bank information at all to the service. I'm pretty sure Quicken and Mint require an online institution "so they can make things convenient for you," but I don't trust  anybody  that much.
Is there any online personal finance software without online banking?
money.stackexchange.com
<software><online-tools>
money.stackexchange.com/questions/8587
money.stackexchange.com/users/3478/Ash Machine
There are several apps like this: CashBase, neobudget, Moneystrands and Savingsmap that don't require you to link bank accounts. There are a wide range of financial programmes that don't require online banking, such as CashBase, neobudget, MoneyStrands or PocketSmith.
There are a wide range of financial programmes that don't require online banking, such as CashBase, neobudget, MoneyStrands or PocketSmith.