After using carry forward, it will usually work out to be a gain to pay in the maximum that your employer will match, even if it takes you above the max tapered amount, as that free money will often outweigh the tax charge (but it will depend on your individual situation).
Most top rate earners will then max out a LISA if they are under 40 (£4k), S&S ISA (£16k if you have used a LISA, £20k if not), and then might consider a general investment account (which is taxed as capital gains, so 24% max with a 3k allowance per year). If you have a partner you'll each have the LISA/ISA/CGT allowances.
Your partner can pay into their pension up to their taxable earnings (or £60k, whichever is lower). The tax relief is based their income (so if they are a basic rate taxpayer, it will attract basic rate tax relief, even if you gift them the money to pay it in or if it comes out of your joint account). In retirement, you can then get better use out of your tax allowances by drawing down more equal amounts (rather than one person having a big pension and going into the higher rate band).
If you are unmarried, you have to be careful though as you're effectively gifting them the money and it won't be seen as joint assets the way it would if you were married.
There are also other schemes like EIS and VCTs, but I've not considered them. As a couple we are maxing out our main property (by spending at the top end of our budget and renovating) as PPR means a tax-free gain when we downsize.